Compact embeddings in the generalized Sobolev space \(W_0^{1,p(\cdot)}(G)\) and existence of solutions for nonlinear elliptic problems

DOI10.1016/j.na.2008.12.046zbMath1194.46053OpenAlexW1994596634MaRDI QIDQ1030040

Takao Ohno

Publication date: 1 July 2009

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.2008.12.046

zbMATH Keywords

compact embeddingsnonlinear elliptic problemsSobolev spaces of variable exponents

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)

Related Items

Compact embeddings for Sobolev spaces of two variable exponents, Besov spaces with variable smoothness and integrability, Capacity for potentials of functions in Musielak-Orlicz spaces, Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent, Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p (·)-Laplacian, Sign changing solutions of the \(p(x)\)-Laplacian equation, Existence results for some anisotropic Dirichlet problems, Besov-type spaces with variable smoothness and integrability

Cites Work

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