Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method
type: Item
instance of: scholarly article
title: Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method
zbMATH Open document ID: 1381.35049
author: Sami Aouaoui
published in: Journal of Mathematical Analysis and Applications
publication date: 2017-11-28T00:00:00Z
review text: This paper is concerned with the existence of signed and nodal solutions for a class of stationary PDEs driven by a nonhomogeneous differential operator with variable exponent. The main features of this paper are the lack of compactness (due to the study on the whole Euclidean space) and the presence of a gradient term with variable exponent. The basic arguments in the proof of the main existence result of this paper is the perturbation method combined with properties of invariant sets of the descending flow.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 6813467
zbMATH Keywords: quasilinear elliptic equation
zbMATH Keywords: sign-changing solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2017.10.028
OpenAlex ID: W2766961178
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DOI: 10.1016/J.JMAA.2017.10.028
description: scientific article; zbMATH DE number 6813467