Qualitative Analysis of Solutions for a Class of Anisotropic Elliptic Equations with Variable Exponent
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Publication:2976211
DOI10.1017/S0013091515000346zbMath1375.35208MaRDI QIDQ2976211
M. Mirzapour, Ghasem Alizadeh Afrouzi, Vicenţiu D. Rădulescu
Publication date: 28 April 2017
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Quasilinear elliptic equations (35J62)
Related Items (8)
The nonnegative weak solution of a degenerate parabolic equation with variable exponent growth order ⋮ Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities ⋮ Existence of solutions for a critical Choquard-Kirchhoff problem with variable exponents ⋮ Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions ⋮ Fine regularity for elliptic and parabolic anisotropic Robin problems with variable exponents ⋮ Variational analysis of anisotropic Schrödinger equations without Ambrosetti-Rabinowitz-type condition ⋮ A sub-supersolution method for a class of nonlocal problems involving the \(p(x)\)-Laplacian operator and applications ⋮ Some remarks on an eigenvalue problem for an anisotropic elliptic equation with indefinite weight
Cites Work
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- Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
- Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Decomposition of images by the anisotropic Rudin-Osher-Fatemi model
- Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions
- Infinitely many solutions of a symmetric Dirichlet problem
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Variable Exponent, Linear Growth Functionals in Image Restoration
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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