Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications

DOI10.5802/afst.703zbMath0731.46016OpenAlexW2325600676MaRDI QIDQ3356888

Abdelmoujib Benkirane

Publication date: 1990

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1990_5_11_2_67_0

zbMATH Keywords

Orlicz-Sobolev spaceaction of some distributions in the dualapproximation results of the Hedberg typestrongly nonlinear elliptic boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operations with distributions and generalized functions (46F10)

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An approximation of Hedberg's type in Sobolev spaces with variable exponent and application, Existence results for strongly nonlinear elliptic equations of infinite order, Existence result for strongly nonlinear elliptic unilateral problems withL¹-data, Strongly nonlinear elliptic variational unilateral problems in Orlicz space, An approximation result in generalized anisotropic Sobolev spaces and applications, Nonlinear elliptic problems having natural growth and \(L^1\) data in Orlicz spaces, Elliptic equations in weighted Sobolev spaces of infinite order with L ¹ data, Anisotropic equations in weighted Sobolev spaces of higher order, Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application, An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces

Cites Work

• On the Orlicz-Sobolev imbedding theorem
• Two approximation problems in function spaces
• Some properties of higher order Sobolev spaces
• Orlicz-Sobolev spaces and imbedding theorems
• Boundary Value Problems for Strongly Nonlinear Elliptic Equations
• Some approximation properties in Orlicz-Sobolev spaces
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications
• Fractional Integration in Orlicz Spaces. I
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
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