Existence and multiplicity of solutions for equations of \(p(x)\)-Laplace type in \(\mathbb{R}^N\) without AR-condition.

zbMath1449.35164MaRDI QIDQ1746004

Jongrak Lee, Yun-Ho Kim, Jae-Myoung Kim

Publication date: 18 April 2018

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

variational principlenonlinear termstrict local minimumnontrivial weak solutiondivergence part

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Critical points theorems via the generalized Ekeland variational principle and its application to equations of \(p(x)\)-Laplace type in \(\mathbb{R}^{N}\) ⋮ Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\) ⋮ A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian ⋮ Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth

This page was built for publication: Existence and multiplicity of solutions for equations of \(p(x)\)-Laplace type in \(\mathbb{R}^N\) without AR-condition.