Nonlinear Dirac Equation on Compact Spin Manifold with Chirality Boundary Condition

DOI10.1007/S12220-024-01561-5MaRDI QIDQ6493911

Publication date: 29 April 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35) PDEs in connection with quantum mechanics (35Q40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

Nonlinear Dirac equations with critical nonlinearities on compact spin manifolds
Existence results for solutions to nonlinear Dirac equations on compact spin manifolds
Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds
Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
A Sobolev-like inequality for the Dirac operator
The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions
The positive mass theorem for black holes revisited
On the spectrum of the Dirac operator under boundary conditions
On the spinor representation of surfaces in Euclidean \(3\)-space
A spin-conformal lower bound of the first positive Dirac eigenvalue
A boundary value problem for the nonlinear Dirac equation on compact spin manifold
Energy methods for Dirac-type equations in two-dimensional Minkowski space
Eigenvalue boundary problems for the Dirac operator
Stationary states of the nonlinear Dirac equation: A variational approach
Semiclassical states of nonlinear Dirac equations with degenerate potential
Infinitely many solutions of Dirac equations with concave and convex nonlinearities
Semiclassical states for nonlinear Dirac equations with singular potentials
Localized concentration of semi-classical states for nonlinear Dirac equations
Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium
Morse-Floer theory for superquadratic Dirac equations. I: Relative Morse indices and compactness
An improved Fountain theorem and its application
Nonlinear Dirac equations on Riemann surfaces
Solutions of nonlinear Dirac equations
Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities
Infinitely many localized semiclassical states for critical nonlinear Dirac equations
Spinorial Yamabe Type Equations on S³ via Conley Index
Eigenvalues of the Dirac operator on manifolds with boundary

This page was built for publication: Nonlinear Dirac Equation on Compact Spin Manifold with Chirality Boundary Condition