Infinitely many solutions for double harmonic perturbed problem
type: Item
instance of: scholarly article
title: Infinitely many solutions for double harmonic perturbed problem
zbMATH Open document ID: 0839.35044
DOI: 10.1007/BF02455254
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1996-02-07T00:00:00Z
review text: The author proves the existence of infinitely many nontrivial solutions of the problem \[ \Delta^2 u- a\Delta u+ bu= g(x, u)+ f(x, u)\text{ in }\Omega,\;u= \partial u/\partial n= 0\text{ on }\partial\Omega, \] under several growth conditions on \(g\) and \(f\), for \(a\geq 0\), \(b\geq 0\). The proof uses variational methods and index theories on Banach manifolds.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 833494
zbMATH Keywords: Morse index
zbMATH Keywords: semilinear elliptic equation of fourth order
author: Qiuyi Dai
MaRDI profile type: Publication
cites work: A Perturbation Method in Critical Point Theory and Applications
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full work available at URL: https://doi.org/10.1007/bf02455254
OpenAlex ID: W2321665042
description: scientific article; zbMATH DE number 833494