Anisotropic equations in weighted Sobolev spaces of higher order

DOI10.1007/s11587-009-0045-1zbMath1181.35082OpenAlexW2012391997MaRDI QIDQ1042610

Moussa Chrif, Said El Manouni

Publication date: 14 December 2009

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-009-0045-1

zbMATH Keywords

nonlinear boundary value problemmonotonicity conditionexistence resultssign conditionanisotropic weighted Sobolev spacesfinite and infinite orders

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (4)

Existence of entropy solutions of the anisotropic elliptic nonlinear problem with measure data in weighted Sobolev space ⋮ Elliptic equations of higher-order in weighted Sobolev spaces ⋮ Elliptic equations in weighted Sobolev spaces of infinite order with L ¹ data ⋮ Strongly anisotropic elliptic problems of infinite order with variable exponents

Cites Work

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• Some properties of higher order Sobolev spaces
• Existence results for strongly nonlinear elliptic equations of infinite order
• Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications
• Boundary Value Problems for Strongly Nonlinear Elliptic Equations
• SOBOLEV SPACES OF INFINITE ORDER AND THE BEHAVIOR OF SOLUTIONS OF SOME BOUNDARY VALUE PROBLEMS WITH UNBOUNDED INCREASE OF THE ORDER OF THE EQUATION
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications

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