Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition
type: Item
instance of: scholarly article
title: Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition
zbMATH Open document ID: 0836.35053
author: Guihua Fei
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-04-29T00:00:00Z
review text: The author proves several lower bounds for the number of distinct pairs of solutions to the nonlinear resonance problem \(- \Delta u = f(x,u)\) in \(\Omega\), \(u = 0\) on \(\partial \Omega\), where \(f(x,s) = \lambda_ks + p(x,s)\), and \(\lambda_k\) is an eigenvalue of the Laplacian with homogeneous Dirichlet condition.
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 811196
zbMATH Keywords: semilinear elliptic problem of resonance
zbMATH Keywords: number of solutions
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1259
OpenAlex ID: W2068722320
DOI: 10.1006/JMAA.1995.1259
description: scientific article; zbMATH DE number 811196