Coercive Potential Research Articles

Existence Theorems for Parameter Dependent Weakly Continuous Operators with Applications

The paper presents results on the solvability and parameter dependence for problems driven by weakly continuous potential operators with continuously differentiable and coercive potential. We provide a parametric version on the existence result to nonlinear equations involving coercive and weakly continuous operators. Applications address a variant of elastic beam equation.

Schrödinger-Maxwell equations driven by mixed local-nonlocal operators

In this paper we prove existence of solutions to Schrödinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schrödinger-Maxwell equations and Schrödinger-Maxwell equations with a coercive potential, and the main novelty is that the nonlocal part of the operator is allowed to be nonpositive definite according to a real parameter. We then provide a range of parameter values to ensure the existence of solitary standing waves, obtained as Mountain Pass critical points for the associated energy functionals.

Existence of solutions to modified nonlinear Schrödinger equations on non-compact Riemannian manifolds

We study the existence of nontrivial solutions to a class of modified nonlinear Schrödinger equation on a complete non-compact N-dimensional (N≥3) Riemannian manifold with asymptotically non-negative Ricci curvature. Using the critical point theory, in a general Sobolev space instead of an Orlicz one, we prove the existence of a nontrivial non-negative solution to a class of modified Schrödinger equation with coercive potential. We also estimate the decay rate of the solution and show that the solution is exponentially decay.

Properties of minimizers for the fractional Kirchhoff energy functional

In this paper, we are concerned with a fractional Kirchhoff equation with a general coercive potential. First, we consider some existence and nonexistence of L2-constraint minimizers for related constrained minimization problems. Most importantly, by constructing appropriate trial functions for some delicate energy estimates and studying decay properties of solution sequences, we then establish the concentration behaviors of L2-constraint minimizers for related constrained minimization problems.

Ergodic Mean-Field Games with aggregation of Choquard-type

We consider second-order ergodic Mean-Field Games systems in the whole space RN with coercive potential and aggregating nonlocal coupling, defined in terms of a Riesz interaction kernel. These MFG systems describe Nash equilibria of games with a large population of indistinguishable rational players attracted toward regions where the population is highly distributed. Equilibria solve a system of PDEs where an Hamilton-Jacobi-Bellman equation is combined with a Kolmogorov-Fokker-Planck equation for the mass distribution. Due to the interplay between the strength of the attractive term and the behavior of the diffusive part, we will obtain three different regimes for the existence and non existence of classical solutions to the MFG system. By means of a Pohozaev-type identity, we prove nonexistence of regular solutions to the MFG system without potential in the Hardy-Littlewood-Sobolev-supercritical regime. On the other hand, using a fixed point argument, we show existence of classical solutions in the Hardy-Littlewood-Sobolev-subcritical regime at least for masses smaller than a given threshold value. In the mass-subcritical regime we show that actually this threshold can be taken to be +∞.

COVID-19 vaccination in the national security system of the Russian Federation: coordination of private and public interests

The subject. Having a proven positive social and economic effect, vaccination remains one of the most important institutions in the system of public safety. The development of this institution requires a rational legal support, considering not only current epidemic process, but also potential threats of bioterrorism and the development of biological weapons. In this light, effective legal regulation of vaccination measures, determination of their desirable forms and scope of the population coverage, as well as cooperation between citizens and the State in ensuring epidemiological safety become a matter of paramount importance.The purpose. The authors propose to discuss two issues: the limits of the possibility of introducing the institution of mandatory vaccination and the issue of legal assistance for the population to participate in vaccination programs in order to achieve the maximum possible coverage.The methodology. The article employs a comprehensive approach which combines formal interpretation and comparative analysis of legal acts and courts decisions with the insights from sociology, behavioral sciences and discourse analysis. The article focuses on the international and national standards of regulation of the vaccination by the means of public and private law in order to achieve herd immunity.Our analysis of the vaccination institute place in the legal system demonstrates that this institution can be included in a row of disciplinary, coercive and binding institutions for citizens prescribing mandatory participation. However, its coercive potential is relatively small and is limited to certain segments of the society that are of strategic importance for ensuring the epidemiological safety. The article posits that such groups remain in the legal field of exceptions, whereas in general, the vaccination institute presumes that the mandatory component is prescribed primarily to the state, not the citizens. And therefore, the citizen's participation in vaccination has the character of an individual rational choice.Conclusions. Our analysis shows that the law on vaccination should be focused on the facilitating socially desirable individual choice rather than binding norm prescription. In this area, the main tasks of legal regulation are establishment of an adequate system of accounting and distribution of individual risks, as well as fair compensation for possible damages during vaccinations. The second main direction of legal development is overcoming information asymmetry in the situation of individual decision-making in order to reduce the shortage of reliable data and to ensure effective communication within an expert community, the state and the person. We propose that this development contributes to the transformation of a purely legal norm on vaccination into a social and cultural one and strengthens the cooperative strategies of citizens in the fight against vaccine-controlled diseases.

From gray zone to conventional warfare: the Russia-Ukraine conflict in the Black Sea

ABSTRACT A gray zone conflict that emerged after the Russian annexation of Crimea was an element of the Russian strategy of establishing and consolidating a new and more favourable internationally recognized maritime order in the Black Sea, Kerch Strait, and the Sea of Azov. Empirical data shows that Russian superiority over Ukraine and inferiority vis-a-vis the West shaped a double asymmetry of its tactics of projecting power against Ukraine while avoiding confrontation with the West. Eventually, Moscow reached a point where the gray zone tactics could not secure its objectives. The Russian invasion of Ukraine in February 2022 signalled the exhausting coercive potential of a gray zone conflict. Although, despite of transition to conventional warfare, we found continuity of ‘gray zone’ tactics of double asymmetry and denying responsibility in the Russian playbook. Hence, a possible de-escalation of the Russia – Ukraine war may likely return to a gray zone conflict.

Making psychiatry moral again: the role of psychiatry in patient moral development

Psychiatric involvement in patient morality is controversial. If psychiatrists are tasked with shaping patient morality, the coercive potential of psychiatry is increased, treatment may be unfairly administered on the basis...

Existence of ground state solution for semilinear -Laplace equation

ABSTRACT This paper explores the existence of ground state solutions for a class of semilinear -Laplace equations where is a coercive potential, is a strongly degenerate elliptic operator, f is a function with more general superlinear conditions or asymptomatic linear conditions.

Norm of criminal law under the draft Criminal code of Ukraine

The article considers the rule of law, the rule of criminal law. When studying the norm of criminal law, I rely on the fact that it is a mandatory rule of conduct for failure to commit a criminal offense under the criminal law of the Special Part of the Criminal Code of Ukraine, organically related orders, compliance with which is ensured by coercive potential criminal law influence. The norm of criminal law consists of: 1) conditions for the implementation of criminal law (hypothesis); 2) criminal law normative – obligatory legal requirement for non-commission of an act provided by the instruction of the Special Part of the Criminal Code (disposition); 3) sanction for non-compliance with these legal requirements. Mandatory requirements (rules) contained in the articles of the General and Special Parts of the Criminal Code and organically supplement (clarify) the content of the relevant structural part of the criminal law or contain procedural issues for its application and implementation. The article analyzes the hypothetical, dispositional and sanctioning dictates of the draft Criminal Code of Ukraine. It is concluded that the draft Criminal Code of Ukraine does not significantly change the approaches to understanding the rules of criminal law as a system of established (sanctioned) by the Verkhovna Rada of Ukraine and legally secured universally binding criminal law norms and organically related commands. project composition, their rights and responsibilities, tasks of the Criminal Code, legal facts, etc.), compliance with which is ensured by the coercive potential of the means of criminal law influence. The considered norm in a broad sense provides for a three-tier structure and is fixed in the criminal law. At the same time, the structural elements of the norm of criminal law in the «broad» sense are placed in the articles of both the General and Special parts of the draft Criminal Code of Ukraine. Further research should focus on understanding the concept and structure of criminal law, as it will help both the legislator and the court. Proper interpretation of the concept and structure of criminal law encourages parliamentarians to more fully and accurately reproduce in the text of the Criminal Code of Ukraine all the necessary elements of criminal law in view of the purpose of its development and adoption, and the judge, investigating judge (court) – to find, compare and understand these elements, to establish their interrelations and the legal will of the legislator fixed in this norm, and also to provide its reliable realization according to a letter of the law. This knowledge allows members of society to navigate the system of criminal law obligations for their implementation.

Protecting Autonomy of Rohingya Women in Sexual and Reproductive Health Interventions

Protecting Autonomy of Rohingya Women in Sexual and Reproductive Health Interventions

Positive solutions for Schrödinger-Poisson-Slater system with coercive potential

We study the following Schrödinger-Poisson-Slater type system: \begin{equation}\label{eq:0.1} \begin{cases} -\Delta u + V(x) u + \lambda\phi (x) u =|u|^{p-1}u,& x\in \mathbb{R}^3, \\ -\Delta\phi = u^2, \quad \lim\limits_{|x|\to +\infty}\phi (x)=0, \end{cases} \end{equation} where $\lambda> 0$ is a parameter, $p\in (1,2)$, $V\in C(\mathbb{R}^N,\mathbb{R}_0^+)$. If $V$ is a constant, or $p \in (2,5)$ with $V\in L^{\infty}(\mathbb{R}^3)$, the above system has been considered in many papers. In this paper, we are interested in the case: $p\in (1,2)$ and $V$ being a coercive potential, i.e., $\lim\limits_{|x|\to +\infty} V(x)=\infty$. We prove that there exists $\lambda_0> 0$ such that system (\ref{eq:0.1}) has at least two positive solutions $u^0_\lambda$ and $u^1_\lambda$ for any $\lambda \in (0, \lambda_0)$. Moreover, $u^0_\lambda$ is a ground state (i.e., the least energy solution) which must blow up as $\lambda \rightarrow 0$. Particularly, when $p\in ({11}/{7},2)$ and $\lambda> 0$ is small enough, we show that the ground state of (\ref{eq:0.1}) must be non-radially symmetric even if $V(x)=V(|x|)$, such as $V(x)=|x|^2$.

Literature in Public: or, All About Us Is Noise

This article elaborates upon the contribution Trevor Ross’s Writing in Public makes to a new understanding of the history of free expression, the public function of literature within the eighteenth century. Those years witness a transition to modernity in which the boundaries of permissible speech and the accepted purpose of writing both are realigned to suit a vision of rational public deliberation and freedom of mind. A consequence of that new intellectual paradigm is the alienation of literature from its traditional role as an instrument of public persuasion; instead literature assumes a high-prestige role as a repository of national heritage, a domain for the cultivation of liberal self-actualization, a laboratory for the encounter with private life and the riskless exploration of norms and customs, and an illustrative counterweight to the coercive potential of propaganda.

A characterization related to Schrödinger equations on Riemannian manifolds

In this paper, we consider the following problem: [Formula: see text] where [Formula: see text] is a [Formula: see text]-dimensional ([Formula: see text], non-compact Riemannian manifold with asymptotically non-negative Ricci curvature, [Formula: see text] is a real parameter, [Formula: see text] is a positive coercive potential, [Formula: see text] is a bounded function and [Formula: see text] is a suitable nonlinearity. By using variational methods, we prove a characterization result for existence of solutions for [Formula: see text].

Soliton Solutions for a Generalized Quasilinear Elliptic Problem

We establish existence and multiplicity of solutions for the elliptic quasilinear Schrodinger equation $$ -\text{div}(g^{2}(u)\nabla u) +g(u)g^{\prime}(u)|\nabla u|^{2}+ V(x)u = h(x,u), x \in \mathbb{R}^{N}, $$ where g is a suitable function, V is a coercive like potential and the nonlinearity h is superlinear at infinity and at the origin. In the proofs, we apply minimization on the Nehari manifold and Ljusternik-Schnirelmann theory.

The physics of dissent and the effects of movement momentum.

How do 'people power' movements succeed when modest proportions of the population participate? Here we propose that the effects of social movements increase as they gain momentum. We approximate a simple law drawn from physics: momentum equals mass times velocity (p = mv). We propose that the momentum of dissent is a product of participation (mass) and the number of protest events in a week (velocity). We test this simple physical proposition against panel data on the potential effects of movement momentum on irregular leader exit in African countries between 1990 and 2014, using a variety of estimation techniques. Our findings show that social movements potentially compensate for relatively modest popular support by concentrating their activities in time, thus increasing their disruptive capacity. Notably, these findings also provide a straightforward way for dissidents to easily quantify their coercive potential by assessing their participation rates and increased concentration of their activities over time.

Concentration of ground states in stationary mean-field games systems

In this paper we provide the existence of classical solutions to stationary mean field game systems in the whole space $\mathbb{R}^N$, with coercive potential and aggregating local coupling, under general conditions on the Hamiltonian. The only structural assumption we make is on the growth at infinity of the coupling term in terms of the growth of the Hamiltonian. This result is obtained using a variational approach based on the analysis of the non-convex energy associated to the system. Finally, we show that in the vanishing viscosity limit mass concentrates around the flattest minima of the potential. We also describe the asymptotic shape of the rescaled solutions in the vanishing viscosity limit, in particular proving the existence of ground states, i.e. classical solutions to mean field game systems in the whole space without potential, and with aggregating coupling.

Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature

In this paper we discuss the existence and non-existence of weak solutions to parametric equations involving the Laplace–Beltrami operator Δg in a complete non-compact d-dimensional (d≥3) Riemannian manifold (M,g) with asymptotically non-negative Ricci curvature and intrinsic metric dg. Namely, our simple model is the following problem −Δgw+V(σ)w=λα(σ)f(w)in Mw≥0in Mwhere V is a positive coercive potential, α is a positive bounded function, λ is a real parameter and f is a suitable continuous nonlinear term. The existence of at least two non-trivial bounded weak solutions is established for large value of the parameter λ requiring that the nonlinear term f is non-trivial, continuous, superlinear at zero and sublinear at infinity. Our approach is based on variational methods. No assumptions on the sectional curvature, as well as symmetry theoretical arguments, are requested in our approach.

Traversing the Services: A Constructivist Grounded Theory of Admission in Two Adult Acute Mental Health Inpatient Wards

It is increasingly acknowledged that service-user satisfaction and experience are fundamental to the achievement of high quality care delivery worldwide. Research in this area identifies a need to capture the experience of care providers, to expand methodological approaches beyond the survey instrument and to develop patient-centred approaches that include effective partnerships between professionals, patients and their carers or family members. Evidence highlights the coercive potential of admission in adult acute mental health, and the increased complexity associated with enhancing patient satisfaction and experience in these environments. This study aimed to explore the experiences of staff, service-users, and carers with admission in two adult acute inpatient mental health wards. A grounded theory (GT) approach was adopted such that theory was developed inductively through data collection and analysis. A total of twenty-two participants were interviewed, this included: 9 (40%) service-users, 10 (46%) members of staff and 3 (14%) carers. The substantive theory of admission produced was organised across three major categories, namely: a person-centred beginning; building relationships along the way and barriers to the service received. These interrelated factors determine the meaningfulness of the admission and have the power to hinder or facilitate improvement to a service-user’s wellbeing and their evaluation of being admitted to an inpatient mental health ward. The process of admission in an acute inpatient mental health environment can pre-determine satisfaction and experience with services. It is essential that person-centred ideals are maintained from the outset in order to maximise the quality of care received. This includes the implementation of strategies that facilitate involvement approaches and nurturing positive relationships to improve communication, concordance, shared decision-making and participation with care delivery.

Is There an Oil Weapon?: Security Implications of Changes in the Structure of the International Oil Market

What is the relationship between oil and coercion? For decades states have worried that their dependence on oil gives producers a potential lever of coercion. The size, integration, and sophistication of the current oil market, however, are thought to have greatly attenuated, if not eliminated, the coercive potential of oil. The best way to analyze the current global oil market is by viewing it as a series of distinct market segments, from upstream production to midstream transport to downstream refining, with the potential for coercion varying across them. Oil-producing states do not have the greatest coercive potential in the international oil market. Instead, the United States remains the dominant presence, though its dominance has shifted from production—where it resided prior to World War II—to the maritime environment. These findings are significant for scholars’ and policymakers’ understanding of the relationship between oil and coercion. More generally, they suggest that studies of the potential for states to coerce others using economic instruments should take into account differences in the structure of markets for different goods.