Linking and existence results for perturbations of the \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Linking and existence results for perturbations of the \(p\)-Laplacian
zbMATH Open document ID: 0957.35047
DOI: 10.1016/S0362-546X(99)00161-3
author: Zhancun Li
author: Xianling Fan
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-03-16T00:00:00Z
review text: This paper refines and improves some existence results for two Dirichlet problems involving the \(p\)-Laplacian from Nonlinear Anal., Theory Methods Appl. 24, No. 3, 409-418 (1995; Zbl 0818.35029) by \textit{D. G. Costa} and \textit{C. A. Magalhães}. The authors use two linking situations, expressed in terms of the two first eigenvalues \(\lambda_1\) and \(\lambda_2\) of the \(p\)-Laplacian operator with Dirichlet boundary data, and the linking theorem of \textit{P. Bartolo}, \textit{V. Benci} and \textit{D. Fortunato} [Nonlinear Anal., Theory Methods Appl. 7, 981-1012 (1983; Zbl 0522.58012)] with the Palais-Smale type condition by Cerami to prove their two main results.
reviewed by: Youssef Jabri
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 1532916
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: linking
zbMATH Keywords: Palais-Smale type condition
MaRDI profile type: Publication
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full work available at URL: s0362-546x(99)00161-3
OpenAlex ID: W2049049691
Wikidata QID: Q127152161
description: scientific article; zbMATH DE number 1532916