Nonlinear Boundary Value Problems Involving the p-Laplacian and p-Laplacian-Like Operators | Zendy

Evgenia H. Papageorgiou | Zendy; Νικόλαος Παπαγεωργίου | Zendy

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Nonlinear Boundary Value Problems Involving the p-Laplacian and p-Laplacian-Like Operators

Author(s) -

Evgenia H. Papageorgiou,

Νικόλαος Παπαγεωργίου

Publication year - 2005

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1263

Subject(s) - monotone polygon , mathematics , boundary value problem , nonlinear system , p laplacian , laplace operator , dirichlet distribution , term (time) , boundary (topology) , mathematical analysis , pure mathematics , physics , geometry , quantum mechanics

We study nonlinear boundary value problems for systems driven by the vector p-Laplacian or p-Laplacian-like operators and having a maximal monotone term. We consider periodic problems and problems with nonlinear boundary conditions formulated in terms of maximal monotone operators. This way we achieve a unified treatment of the classical Dirichlet, Neumann and periodic problems. Our hypotheses permit the presence of Hartman and Nagumo-Hartman nonlinearities, partially extending this way some recent works of Mawhin and his coworkers. © Heldermann Verlag Berlin

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