Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application
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Publication:3124187
DOI10.1016/S0362-546X(96)00017-XzbMath0872.35033OpenAlexW2005128887WikidataQ126821919 ScholiaQ126821919MaRDI QIDQ3124187
A. Elmahi, Abdelmoujib Benkirane
Publication date: 15 September 1997
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00017-x
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Existence result for nonlinear elliptic unilateral problems in Musielak framework with \(L^1\) data ⋮ Parabolic inequalities in Orlicz spaces with data in \(L^1\) ⋮ Study of some non-linear elliptic problems with no continuous lower order terms in Orlicz spaces ⋮ Unnamed Item ⋮ An inequality of type Poincaré in Musielak spaces and application to some non-linear elliptic problems with data ⋮ Existence results for diffusion–convection equations of nonlinear unilateral problems defined in Orlicz–Sobolev spaces ⋮ An existence theorem for a strongly nonlinear elliptic problem in Musielak–Orlicz spaces ⋮ Entropy solutions for nonlinear unilateral parabolic inequalities in Orlicz–Sobolev spaces ⋮ Nonlinear elliptic equations with measure data in Orlicz spaces ⋮ Nonlinear unilateral parabolic problems in Musielak-Orlicz spaces with \(L^1\) data ⋮ Strongly nonlinear elliptic problem with measure data in Musielak-Orlicz spaces ⋮ Capacity solution to a nonlinear elliptic coupled system in Orlicz-Sobolev spaces ⋮ A minimum problem with two-phase free boundary in Orlicz spaces ⋮ Existence of renormalized solution of nonlinear elliptic problems with lower order term in Orlicz spaces ⋮ Renormalized solutions of non-linear elliptic problems with three lower-order terms and $ L^1$-data ⋮ On Some Nonlinear Elliptic Problems with Large Monotonocity in Musielak–Orlicz–Sobolev Spaces ⋮ Non-linear elliptic unilateral problems with two lower-order terms in Orlicz spaces ⋮ A strongly nonlinear elliptic problem with generalized growth in Musielak spaces ⋮ On some class of nonlinear parabolic inequalities in Orlicz spaces ⋮ Existence results for a perturbed Dirichlet problem without sign condition in Orlicz spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the limiting regularity result of some nonlinear elliptic equations ⋮ Elliptic inequalities with \(L^1\) data in Musielak-Orlicz spaces ⋮ Strongly nonlinear parabolic equations with natural growth terms in Orlicz spaces ⋮ Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces ⋮ Nonlinear elliptic problems having natural growth and \(L^1\) data in Orlicz spaces ⋮ Existence of solutions for some nonlinear elliptic equations in Musielak spaces with only the log-Hölder continuity condition ⋮ Deterministic homogenization of nonlinear degenerate elliptic operators with nonstandard growth ⋮ Solvability of strongly nonlinear elliptic variational problems in weighted Orlicz-Sobolev spaces ⋮ Unnamed Item ⋮ An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces ⋮ Variational Approximation in Modular Spaces by Using Finite Element Method Approach
Cites Work
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- Existence of bounded solutions for non linear elliptic unilateral problems
- Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications
- Variational inequalities in Orlicz-Sobolev spaces
- Some approximation properties in Orlicz-Sobolev spaces
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- An approximation theorem in higher order Orlicz-Sobolev spaces and applications
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
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