A boundary value problem for the nonlinear Dirac equation on compact spin manifold
type: Item
instance of: scholarly article
title: A boundary value problem for the nonlinear Dirac equation on compact spin manifold
zbMATH Open document ID: 1394.58008
author: Yanheng Ding
author: Jiongyue Li
published in: Calculus of Variations and Partial Differential Equations
publication date: 2018-07-16T00:00:00Z
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 83C60
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 6903803
zbMATH Keywords: nonlinear Dirac equation
zbMATH Keywords: compact spin manifold
zbMATH Keywords: local boundary condition
Wikidata QID: Q115387248
MaRDI profile type: Publication
full work available at URL: s00526-018-1350-x
OpenAlex ID: W2800670554
cites work: A spin-conformal lower bound of the first positive Dirac eigenvalue
cites work: Existence of excited states for a nonlinear Dirac field
cites work: Existence of standing waves for Dirac fields with singular nonlinearities
cites work: Deformation theorems on non-metrizable vector spaces and applications to critical point theory
cites work: Solutions of nonlinear Dirac equations
cites work: Q4277802
cites work: Existence of localized solutions for a classical nonlinear Dirac field
cites work: Solutions of a nonlinear Dirac equation with external fields
cites work: Bifurcation on compact spin manifold
cites work: Stationary states of the nonlinear Dirac equation: A variational approach
cites work: Q4505127
cites work: On the spectrum of the Dirac operator under boundary conditions
cites work: The positive mass theorem for black holes revisited
cites work: Spectral properties of the Dirac operator and geometrical structures
cites work: Eigenvalue boundary problems for the Dirac operator
cites work: Eigenvalues of the Dirac operator on manifolds with boundary
cites work: Nonlinear Dirac equations with critical nonlinearities on compact spin manifolds
cites work: On the existence of nonlinear Dirac-geodesics on compact manifolds
cites work: Q3995493
cites work: Q3749777
cites work: A Sobolev-like inequality for the Dirac operator
cites work: Ground state solutions for some indefinite variational problems
cites work: On the proof of the positive mass conjecture in general relativity
cites work: Proof of the positive mass theorem. II
cites work: A new proof of the positive energy theorem.
DOI: 10.1007/S00526-018-1350-X
description: scientific article; zbMATH DE number 6903803