Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator

In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s three critical points theorem.

Multiplicity of solutions for perturbed nonlinear fractional p-Laplacian boundary value systems related with two control parameters

This paper deals with the study of a class of perturbed nonlinear fractional p-Laplacian differential systems, where by using the variational method, two control parameters together with recent three critical points theorem by Bonanno and Candito for differentiable functionals for perturbed systems, the existence of three weak solutions has been proved.

On a class of non-local discrete boundary value problem

PurposeIn this article, the authors discuss the existence and multiplicity of solutions for an anisotropic discrete boundary value problem in T-dimensional Hilbert space. The approach is based on variational methods especially on the three critical points theorem established by B. Ricceri.Design/methodology/approachThe approach is based on variational methods especially on the three critical points theorem established by B. Ricceri.FindingsThe authors study the existence of results for a discrete problem, with two boundary conditions type. Accurately, the authors have proved the existence of at least three solutions.Originality/valueAn other feature is that problem is with non-local term, which makes some difficulties in the proof of our results.

Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations

In this article, we prove the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations. We are interested in the existence of three solutions with the aid of linking arguments and using a three critical points theorem, for locally Lipschitz continuous fonctions.

A non-smooth three critical points theorem for general hemivariational inequality on bounded domains

In this paper we are concerned with the study of a hemivariationalinequality with nonhomogeneous Neumann boundary condition. Weestablish the existence of at least three solutions of the problem by usingthe nonsmooth three critical points theorem and the principle of symmetriccriticality for Motreanu-Panagiotopoulos type functionals.

Three Homoclinic Solutions for Second-Order -Laplacian Differential System

We consider second-order -Laplacian differential system. By using three critical points theorem, we establish the new criterion to guarantee that this -Laplacian differential system has at least three homoclinic solutions. An example is presented to illustrate the main result.

Multiple Solutions for a Class of Multipoint Boundary Value Systems Driven by a One-Dimensional -Laplacian Operator

Employing a recent three critical points theorem due to Bonanno and Marano (2010), the existence of at least three solutions for the following multipoint boundary value system in , , for , is established.