Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
type: Item
instance of: scholarly article
title: Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
zbMATH Open document ID: 1005.35036
DOI: 10.1155/S1085337502000829
published in: Abstract and Applied Analysis
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49752
review text: Summary: This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system \(-\Delta_p u = F_{u}(x,u,v)\), \(-\Delta_q v = F_{v} (x,u,v)\), under conditions involving the first and the second eigenvalues.
Mathematics Subject Classification ID: 35J45
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 1780530
zbMATH Keywords: existence
zbMATH Keywords: minimax theorem
zbMATH Keywords: eigenvalues
author: P. L. De Nápoli
author: Maria C. Mariani
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1780530