A constrained minimization problem involving the \(p(x)\)-Laplacian in \(\mathbb R^N\)

DOI10.1016/j.na.2007.10.002zbMath1159.35326OpenAlexW1591039947MaRDI QIDQ955671

Xian-Ling Fan

Publication date: 20 November 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.10.002

zbMATH Keywords

concentration-compactness principleconstrained minimization\(p(x)\)-Laplacianvariable exponent Sobolev space

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Variational principles in infinite-dimensional spaces (58E30) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Solutions for a singular elliptic problem involving the p(x)-Laplacian ⋮ Local existence conditions for an equations involving the \(p(x)\)-Laplacian with critical exponent in \(\mathbb R^N\) ⋮ Existence and multiplicity of solutions for a class of nonlocal elliptic transmission systems ⋮ Minimization of elliptic non-local functionals involving \(\vec{p}(\cdot)\)-Laplacian ⋮ Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator ⋮ Overview of differential equations with non-standard growth ⋮ Existence and non-existence results for nonlinear elliptic equations with nonstandard growth

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