Abstract
This paper is mainly concerned with the boundary value problems for the general Schrödinger equation with general superlinear nonlinearity introduced in (Sun et al. in J. Inequal. Appl. 2018:100, 2018). We firstly study a new algorithm for finding the meromorphic solution for the mentioned equation via meromorphic inequalities presented in (Xu in J. Math. Study 38(1):71–86, 2015). Then we deal with the necessary and sufficient conditions of convergence and obtain the general solutions and the conditions of solvability for the mentioned equation by means of the meromorphic inequalities for the classical boundary value problems developed in (Guillot in J. Nonlinear Math. Phys. 25(3):497–508, 2018). These results generalize some previous results concerning the asymptotic behavior of solutions of non-delay systems of Schrödinger equations by applying the maximum principle approach with respect to the Schrödinger operator in (Wan in J. Inequal. Appl. 2017:104, 2017).
Highlights
Problem (1.1) is related to the existence of nontrivial meromorphic solutions for the following general Schrödinger equations (see [2, 12, 20] for more details):
1 Introduction This article is devoted to the study of the general Schrödinger equation with general superlinear nonlinearity in Rn
Bisci and Radulescu [5] studied the existence of multiple ground state solutions for a class of parametric fractional Schrödinger equations
Summary
Problem (1.1) is related to the existence of nontrivial meromorphic solutions for the following general Schrödinger equations (see [2, 12, 20] for more details): Lv and Tang [41] employed the mountain pass theorem to obtain the existence of a positive ground state solution for quasilinear Schrödinger equations with a general nonlinear term. Our meromorphic identity subproblem model is defined as follows (see [14]): 1 Min Nl(ς ) = 2
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
