Multiple nonsemitrivial solutions for a class of degenerate quasilinear elliptic systems
type: Item
instance of: scholarly article
title: Multiple nonsemitrivial solutions for a class of degenerate quasilinear elliptic systems
zbMATH Open document ID: 1375.35209
DOI: 10.12775/TMNA.2015.019
author: Armin Hadjian
author: Nicolaos B. Zographopoulos
author: Ghasem A. Afrouzi
published in: Topological Methods in Nonlinear Analysis
publication date: 2017-05-08T00:00:00Z
review text: The existence of multiple nonsemitrivial solutions for a degenerate quasilinear system depending on a parameter \(\lambda\) is proved. The variational approach is applied, based on the notion of Nehari manifolds, and a result for an eigenvalue problem proved by the third author. The main result is Theorem 3.5 on the existence of nonnegative nonsemitrivial solutions for \(\lambda\) in an specified interval. The proof is technical and original.
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 6712483
zbMATH Keywords: quasilinear systems
zbMATH Keywords: Nehari manifolds
zbMATH Keywords: variational methods
reviewed by: Stepan Agop Tersian
MaRDI profile type: Publication
full work available at URL: tmna.2015.019
OpenAlex ID: W2279777663
Recommended article: Multiple Solutions for a Class of Degenerate Quasilinear Elliptic Systems
Recommended article: Multiple nonsemitrivial solutions for quasilinear elliptic systems
Recommended article: Multiple solutions for nonvariational quasilinear elliptic systems
Recommended article: Q3182248
Recommended article: Existence and multiplicity results for a class of degenerate quasilinear elliptic systems
Recommended article: Existence of multiple solutions for quasi-linear degenerate elliptic equations
Recommended article: Q3179803
Recommended article: Multiple nonsemitrivial solutions for quasilinear elliptic systems via associated eigenvalue problems
Recommended article: Q3501364
Recommended article: MULTIPLE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC PROBLEMS
description: scientific article; zbMATH DE number 6712483