Elliptic Problems with Nonhomogeneous Differential Operators and Multiple Solutions

Dumitru Motreanu () and Patrick Winkert ()
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Dumitru Motreanu: Université de Perpignan, Département de Mathématiques
Patrick Winkert: Institut für Mathematik, Technische Universität Berlin

A chapter in Mathematics Without Boundaries, 2014, pp 357-379 from Springer

Abstract: Abstract The present survey aims to report on recent advances in the study of non-linear elliptic problems whose differential part is expressed by a general operator in divergence form. The pattern of such differential operator is the p-Laplacian Δ p with $1

Keywords: Nonlinear elliptic boundary value problem; Nonhomogeneous differential operator; p-Laplacian; Eigenvalue problem; Multiple solutions; Critical point; Minimizer; Regularity; Maximum principle (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1106-6_15

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DOI: 10.1007/978-1-4939-1106-6_15

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