\(p\)-Laplacian inclusions via fixed points for multifunctions in posets

DOI10.1007/s11228-007-0044-xzbMath1166.35388OpenAlexW2059787868MaRDI QIDQ1005128

Siegfried Carl, Seppo Heikkilä

Publication date: 16 March 2009

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-007-0044-x

zbMATH Keywords

\(p\)-LaplacianComparison principleDifferential inclusionExtremal solutionFixed points for multifunction

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Fixed-point theorems (47H10) Set-valued operators (47H04) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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ON A DIRICHLET PROBLEM WITH p-LAPLACIAN AND SET-VALUED NONLINEARITY ⋮ Existence of Solutions for Some Quasilinear Degenerate Elliptic Inclusions in Weighted Sobolev Spaces

Cites Work

• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
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