Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p (·)-Laplacian

DOI10.1080/17476933.2020.1781831zbMath1479.35496arXiv1902.04822OpenAlexW3103042122MaRDI QIDQ5161628

Ismail Aydin, Cihan Unal

Publication date: 1 November 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04822

zbMATH Keywords

existencecompact embeddingweighted variable exponent Sobolev spaces\(p ( \cdot )\)-Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

Existence and multiplicity of weak solutions for eigenvalue Robin problem with weighted \(p(.)\)-Laplacian ⋮ Removable singularities for subsolutions of elliptic equations involving weighted variable exponent Sobolev spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lipschitz estimates for systems with ellipticity conditions at infinity
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Weighted variable Sobolev spaces and capacity
• The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values
• On some quasilinear elliptic equations with critical Sobolev exponents and
• Compact trace in weighted variable exponent Sobolev spaces \(W^{1,p(x)}(\Omega;v_0,v_1)\)
• Overview of differential equations with non-standard growth
• Global bifurcation for a class of degenerate elliptic equations with variable exponents
• Compact embeddings in the generalized Sobolev space \(W_0^{1,p(\cdot)}(G)\) and existence of solutions for nonlinear elliptic problems
• Mountain pass solutions to equations of \(p\)-Laplacian type.
• Nonlinear potential theory and weighted Sobolev spaces
• A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces
• Compact embeddings on a subspace of weighted variable exponent Sobolev spaces
• Weighted variable exponent Sobolev estimates for elliptic equations with non-standard growth and measure data
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Minimax theorems
• The fibering map approach to a quasilinear degenerate \(p(x)\)-Laplacian equation
• Existence to nonlinear parabolic problems with unbounded weights
• Existence and multiplicity of solutions to a p(x)-Laplacian equation with nonlinear boundary condition on unbounded domain
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weightedp-Laplacian
• THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Partial Differential Equations with Variable Exponents
• Regularity results for a class of functionals with non-standard growth
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p (·)-Laplacian