Existence theory for functional \(p\)-Laplacian equations with variable exponents
type: Item
instance of: scholarly article
title: Existence theory for functional \(p\)-Laplacian equations with variable exponents
zbMATH Open document ID: 1029.34018
DOI: 10.1016/S0362-546X(02)00122-0
author: Alberto Cabada
author: Rodrigo L. Pouso
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The authors consider the solvability of functional \(p\)-Laplacian equations subjected to general boundary conditions, which include as particular cases the Dirichlet and periodic conditions, and also cover a wide class of nonlinear conditions as well a functional ones. The existence of solutions to problems with bounded nonlinear parts is proved. Illustrative examples are presented, too.
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1879967
zbMATH Keywords: nonlinear functional equations
zbMATH Keywords: Dirichlet and periodic boundary conditions
zbMATH Keywords: existence of solutions
zbMATH Keywords: upper and lower solutions
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1879967