Existence results for strongly nonlinear elliptic equations of infinite order

DOI10.4171/ZAA/1325zbMath1138.35093OpenAlexW2022398468MaRDI QIDQ2460707

Said El Manouni, Moussa Chrif, Abdelmoujib Benkirane

Publication date: 13 November 2007

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1325

zbMATH Keywords

infinite orderSoboloev spacesStrongly nonlinear elliptic equations

Mathematics Subject Classification ID

Related Items (9)

Unnamed Item ⋮ Existence of entropy solutions of the anisotropic elliptic nonlinear problem with measure data in weighted Sobolev space ⋮ Parabolic equations of infinite order with \(L^1\) data ⋮ On a strongly anisotropic equation withL¹data ⋮ Elliptic equations of higher-order in weighted Sobolev spaces ⋮ An approximation result in generalized anisotropic Sobolev spaces and applications ⋮ Elliptic equations in weighted Sobolev spaces of infinite order with L ¹ data ⋮ Strongly anisotropic elliptic problems of infinite order with variable exponents ⋮ Anisotropic equations in weighted Sobolev spaces of higher order

Cites Work

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• NONTRIVIALITY OF SOBOLEV SPACES OF INFINITE ORDER FOR A FULL EUCLIDEAN SPACE AND A TORUS
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications

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