Existence of solutions to a coupled system involving the Laplace and the Dirac operators: a Floer homology approach
type: Item
instance of: scholarly article
title: Existence of solutions to a coupled system involving the Laplace and the Dirac operators: a Floer homology approach
zbMATH Open document ID: 1404.58032
author: Mohammed Habibi
author: Ali Maalaoui
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2018-01-31T00:00:00Z
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35R01
Mathematics Subject Classification ID: 53D40
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 58Z05
zbMATH DE Number: 6832640
zbMATH Keywords: coupled system
zbMATH Keywords: strongly indefinite
zbMATH Keywords: Floer homology
MaRDI profile type: Publication
full work available at URL: s00030-017-0490-6
OpenAlex ID: W2768071123
cites work: Morse homology on Hilbert spaces
cites work: A Morse complex for infinite dimensional manifolds. I.
cites work: Ordinary differential operators in Hilbert spaces and Fredholm pairs
cites work: A spin-conformal lower bound of the first positive Dirac eigenvalue
cites work: A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology
cites work: On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
cites work: Q3992582
cites work: Morse-Floer theory for superquadratic Dirac equations. I: Relative Morse indices and compactness
cites work: The Einstein-Dirac equation on Sasakian 3-manifolds.
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Particle-like solutions of the Einstein-Dirac-Maxwell equations
cites work: Q4505127
cites work: Existence results for solutions to nonlinear Dirac equations on compact spin manifolds
cites work: Nonlinear Dirac equations with critical nonlinearities on compact spin manifolds
cites work: Morse-Floer theory for superquadratic Dirac equations. II: Construction and computation of Morse-Floer homology
cites work: Morse-Floer theory for superquadratic Dirac-geodesics
cites work: The Yamabe problem
cites work: The Einstein-Dirac equation on Riemannian spin manifolds
cites work: Rabinowitz-Floer homology for superquadratic Dirac equations on compact spin manifolds
cites work: The Rabinowitz-Floer homology for a class of semilinear problems and applications
cites work: Homological approach to problems with jumping non-linearity
cites work: Characterization of the Palais-Smale sequences for the conformal Dirac-Einstein problem and applications
cites work: Q5522742
cites work: MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS
cites work: Q3275400
DOI: 10.1007/S00030-017-0490-6
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description: scientific article; zbMATH DE number 6832640