Existence of solutions for unilateral problems with \(L^1\) data in Orlicz spaces

DOI10.4067/S0716-09172004000300007MaRDI QIDQ6646653

Lahsen Aharouch, Mohamed Rhoudaf

Publication date: 3 December 2024

Published in: Proyecciones (Search for Journal in Brave)

zbMATH Keywords

boundary value problemstruncationsunilateral problemsOrlicz Sobolev spaces

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Cites Work

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• \(L^\infty\)-bounds for elliptic equations on Orlicz-Sobolev spaces
• A regularity theory for variational integrals with \(L\ln L\)-growth
• A strongly nonlinear elliptic equation having natural growth terms and \(L^1\) data
• 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
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications
• An existence theorem for a class of elliptic problems in L¹
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients

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