Homological approach to problems with jumping non-linearity
type: Item
instance of: scholarly article
title: Homological approach to problems with jumping non-linearity
zbMATH Open document ID: 1351.58014
author: Ali Maalaoui
author: Vittorio Martino
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2016-08-18T00:00:00Z
review text: The authors use the Rabinowitz-Floer homology approach to study semilinear elliptic problems featuring jumping nonlinearities of type \[ -\Delta u=\lambda_+u_+^p-\lambda_-u_-^p\quad\text{ in }M, \] where \(M=S^1\times N\) with \(N\) a compact manifold. The associated elliptic systems with perturbed terms are also analyzed.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 6618029
zbMATH Keywords: equivariant homology
zbMATH Keywords: Rabinowitz-Floer homology
zbMATH Keywords: jumping nonlinearities
MaRDI profile type: Publication
full work available at URL: j.na.2016.07.003
OpenAlex ID: W2490543744
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DOI: 10.1016/J.NA.2016.07.003
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description: scientific article; zbMATH DE number 6618029