Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result
type: Item
instance of: scholarly article
title: Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result
zbMATH Open document ID: 1350.35184
author: Tacksun Jung
author: Q-Heung Choi
published in: Boundary Value Problems
publication date: 2016-08-08T00:00:00Z
review text: The purpose of this paper is to study weak solutions of a fourth order Hamiltonian system. The main theorem states that this system with a certain constraint has infinitetly many nontrivial weak solutions. The proofs use a variational approach with matrix eigenvectors, Hilbert space, Frechet derivative, strong convergence, and generalized mountain pass theorem.
reviewed by: Thomas Ernst
Mathematics Subject Classification ID: 35Q70
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 6609978
zbMATH Keywords: fourth order Hamiltonian system
zbMATH Keywords: singular nonlinear term
zbMATH Keywords: variational method
zbMATH Keywords: critical point theory
zbMATH Keywords: minimax method
zbMATH Keywords: homology theory
zbMATH Keywords: \((P.S.)_{c}\) condition
MaRDI profile type: Publication
full work available at URL: s13661-016-0638-z
OpenAlex ID: W2500251549
Wikidata QID: Q59462035
cites work: Q3506248
cites work: Multiplicity results on a fourth order nonlinear elliptic equation
cites work: Multiplicity results on a nonlinear biharmonic equation
cites work: A note on a semilinear elliptic problem
cites work: Multiplicity results for a fourth-order semilinear elliptic problem
cites work: Nondegenerate critical manifolds
cites work: Q3749777
DOI: 10.1186/S13661-016-0638-Z
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description: scientific article; zbMATH DE number 6609978