Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent
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Publication:1624137
DOI10.1155/2018/5497172zbMath1405.35065OpenAlexW2891813378MaRDI QIDQ1624137
Publication date: 15 November 2018
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/5497172
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Cites Work
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- A minimization problem with variable growth on Nehari manifold
- On the Sobolev embedding theorem for variable exponent spaces in the critical range
- Variable Lebesgue spaces. Foundations and harmonic analysis
- On the Sobolev trace theorem for variable exponent spaces in the critical range
- Existence of solutions for a class of \(p(x)\)-Laplacian equations involving a concave-convex nonlinearity with critical growth in \({\mathbb R}^N\)
- The maximum principle
- The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
- Sobolev inequalities with variable exponent attaining the values 1 and \(n\)
- A multiplicity result for \(p(x)\)-Laplacian problem in \(\mathbb R^N\)
- Functional analysis, Sobolev spaces and partial differential equations
- Symétrie et compacité dans les espaces de Sobolev
- Existence of solitary waves in higher dimensions
- On the (non)compactness of the radial Sobolev spaces
- Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
- Dual variational methods in critical point theory and applications
- Local existence conditions for an equations involving the \(p(x)\)-Laplacian with critical exponent in \(\mathbb R^N\)
- Compact embedding from \(W_0^{1,2}(\Omega)\) to \(L^{q(x)}(\Omega )\) and its application to nonlinear elliptic boundary value problem with variable critical exponent
- \(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations
- Multiple solutions for a class of quasilinear problems involving variable exponents
- Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- On the Sobolev-type inequality for Lebesgue spaces with a variable exponent
- Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the p(x)-Laplacian and its critical exponent
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- On compact embeddings of radial sobolev spaces and their applications
- Sobolev embeddings with variable exponent
- On the Ambrosetti-Rabinowitz Superlinear Condition
- Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian
- Variational Methods
- Sobolev-type inequality for spaces L^{p(x)}(\mathbb{R}^{N})
- Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)