Nonlinear elliptic problems having natural growth and \(L^1\) data in Orlicz spaces

DOI10.1007/s10231-004-0107-7zbMath1223.35135OpenAlexW2073471996MaRDI QIDQ2504740

A. Elmahi, Driss Meskine

Publication date: 28 September 2006

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-004-0107-7

zbMATH Keywords

truncationOrlicz--Sobolev spacesstrongly nonlinear problems in \(L^1\)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

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Cites Work

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• Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
• Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces
• A strongly nonlinear elliptic equation having natural growth terms and \(L^1\) data
• Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application
• Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications
• Variational inequalities in Orlicz-Sobolev spaces
• An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces

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