Existence of solutions for a class of obstacle problems with \(L^1\)-data and without sign condition
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Publication:337965
DOI10.1007/s13370-015-0375-yzbMath1357.35146OpenAlexW1103043594MaRDI QIDQ337965
Elhoussine Azroul, Hassane Hjiaj, Chihab Yazough, Mohamed Badr Benboubker
Publication date: 3 November 2016
Published in: Afrika Matematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13370-015-0375-y
entropy solutionsobstacle problemanisotropic Sobolev space with variable exponentstrongly nonlinear elliptic problems
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Strong solutions to PDEs (35D35)
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Cites Work
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- Existence of solutions in the sense of distributions of anisotropic nonlinear elliptic equations with variable exponent
- Lebesgue and Sobolev spaces with variable exponents
- Sobolev inequalities with variable exponent attaining the values 1 and \(n\)
- Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data
- Nonlinear anisotropic elliptic and parabolic equations with variable exponents and \(L^1\) data
- An approximation result in generalized anisotropic Sobolev spaces and applications
- Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
- Existence of solutions for some nonlinear elliptic unilateral problems with measure data
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)