Quasilinear elliptic problems interacting with its asymptotic spectrum
type: Item
instance of: scholarly article
title: Quasilinear elliptic problems interacting with its asymptotic spectrum
zbMATH Open document ID: 1013.35022
DOI: 10.1016/S0362-546X(02)00274-2
author: David Arcoya
author: José Carmona
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The paper studies quasilinear boundary value problems at resonance in a bounded domain with homogeneous Dirichlet condition. The interaction of the nonlinearity with the spectrum is carefully considered. The authors' basic idea is to use bifurcation theory by embedding the quasilinear problem into a one-parameter problem. Extensions of the corresponding results to the semilinear case involving Landesman-Lazer conditions are obtained.
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1880113
zbMATH Keywords: quasilinear elliptic equations
zbMATH Keywords: bifurcation theory
zbMATH Keywords: resonance
zbMATH Keywords: jumping nonlinearities
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1880113