Class Of p-Laplacian Equations Research Articles

Critical Point Approaches for a Class of Differential Equations with Sturm-Liouville Type Nonhomogeneous Boundary Conditions

A class of p-Laplacian equations with Sturm-Liouville type nonhomogeneous boundary value problem with nonlinear derivative depending on two control parameters is investigated. Existence and multiplicity of solutions are discussed by means of variational methods and critical point theory. Two examples supporting our theoretical results are also presented.

Periodic and subharmonic solutions with winding number for p-Laplacian equations by the Poincaré–Birkhoff theorem

In this paper, using a generalized version of the Poincare–Birkhoff theorem due to Franks, we prove the existence of at least two geometrically distinct periodic and subharmonic solutions with winding number for a class of p-Laplacian equations, and at least one of them is unstable.

Existence of Solutions to the Boundary Value Problems for a Class of P-Laplacian Equations at Resonance

By the generalizing the extension of the continuous theorem of Ge and Ren and constructing suitable Banach spaces and operators, we investigate the existence-solutions to the boundary value problems for a class of p-Laplacian equations. Finally an example is given to illustrate our results.

Existence and multiplicity results for p-laplacian Dirichlet problem with combined nonlinearities

A class of p-laplacian equations with combined nonlinearities is studied. First, when the nonlinear term is asymptotically linear at infinity, existence result of four non-trivial solutions is obtained by Ekeland variational principle and mountain pass theorem. Second, when the nonlinear term is superlinear at positive infinity but asymptotically linear at negative infinity, some existence results for non-trivial solution are established by mountain pass theorem and a variant version of mountain pass theorem.

Existence of Nonnegative Solutions For a Class of p-Laplacian Equations in IRN

Abstract We consider the question of existence of nonnegative solutions of a class of p-Laplacian elliptic problems in the whole space ℝN having a sign-changing nonlinearity of the form a(x)g(u).