Porosity of free boundaries in A-obstacle problems
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Publication:1006715
DOI10.1016/j.na.2008.04.002zbMath1166.35385OpenAlexW2065726523MaRDI QIDQ1006715
Samia Challal, Abdeslem Lyaghfouri
Publication date: 25 March 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.2008.04.002
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35)
Related Items (9)
Remarks on Hausdorff measure and stability for the \(p\)-obstacle problem \((1 < p < 2)\) ⋮ Porosity of free boundaries in the obstacle problem for quasilinear elliptic equations ⋮ Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side ⋮ A minimum problem with two-phase free boundary in Orlicz spaces ⋮ On the \(A\)-obstacle problem and the Hausdorff measure of its free boundary ⋮ A remark on Hausdorff measure in obstacle problems ⋮ On the porosity of the free boundary in the \(p(x)\)-obstacle problem ⋮ Regularity of solutions to the \(G\)-Laplace equation involving measures ⋮ A free boundary problem with subcritical exponents in Orlicz spaces
Cites Work
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- Hölder continuity of solutions to the \(A\)-Laplace equation involving measures
- On the porosity of free boundaries in degenerate variational inequalities
- Quasilinear Elliptic Equations and Inequalities with Rapidly Growing Coefficients
- Variational inequalities in Orlicz-Sobolev spaces
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
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