Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator

Yin, Honghui; Yang, Zuodong

doi:10.1186/1687-2770-2012-30

Bound Value Probl

2012

DOI: 10.1186/1687-2770-2012-30

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Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator

Honghui Yin

Zuodong Yang

Abstract: The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the p(x)-Laplace operator with Neumann boundary condition. The technical approach is mainly based on a three critical points theorem due to Ricceri. MSC: 35D05; 35J60; 58E05.

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Existence of solutions for nonlinear Schrödinger systems with periodic data perturbations

Chergui

Tas

2018

Journal of Applied Analysis

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This paper deals with a class of the stationary nonlinear Schrödinger Systems in {\mathbb{R}^{N}} . Our main tools are based on variational methods. More precisely, by using Ekeland’s Variational Principle, the Mountain Pass Theorem and the Nehari Manifold Method, an existence result is established.

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Existence of solutions for nonlinear Schrödinger systems with periodic data perturbations

Chergui

Tas

2018

Journal of Applied Analysis

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Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator

Abstract: The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the p(x)-Laplace operator with Neumann boundary condition. The technical approach is mainly based on a three critical points theorem due to Ricceri. MSC: 35D05; 35J60; 58E05.

Cited by 1 publication

References 28 publications

Existence of solutions for nonlinear Schrödinger systems with periodic data perturbations

Existence of solutions for nonlinear Schrödinger systems with periodic data perturbations

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