Semiclassical states of nonlinear Dirac equations with degenerate potential

DOI10.1007/s10231-019-00849-6zbMath1427.35222OpenAlexW2926459923WikidataQ128102046 ScholiaQ128102046MaRDI QIDQ2009071

Yanyan Li

Publication date: 27 November 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-019-00849-6

zbMATH Keywords

Dirac equationconcentrationsemiclassical statesdegenerate potential

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) PDEs in connection with quantum mechanics (35Q40)

Related Items

Existence and asymptotics of ground states to the nonlinear Dirac equation with Coulomb potential, Higher topological type semiclassical states for Sobolev critical Dirac equations with degenerate potential, Semiclassical states for Dirac-Klein-Gordon system with critical growth, On semiclassical states for Dirac equations, Semiclassical states for nonlinear Dirac equations with singular potentials, The concentration behavior of ground state solutions for nonlinear Dirac equation, The solutions of critical nonlinear Dirac equations with degenerate potential, \(L^2\)-normalized solitary wave solutions of a nonlinear Dirac equation

Cites Work

• Unnamed Item
• Unnamed Item
• Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations
• Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
• Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials
• Existence of stationary states for nonlinear Dirac equations
• Existence of excited states for a nonlinear Dirac field
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
• Solutions of a nonlinear Dirac equation with external fields
• Existence of localized solutions for a classical nonlinear Dirac field
• On a class of nonlinear Schrödinger equations
• Semi-classical states for nonlinear Schrödinger equations
• Multi-peak bound states for nonlinear Schrödinger equations
• Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
• Standing waves with a critical frequency for nonlinear Schrödinger equations
• An infinite sequence of localized semiclassical bound states for nonlinear Dirac equations
• Infinitely many bound states for some nonlinear scalar field equations
• Stationary states of the nonlinear Dirac equation: A variational approach
• Localized concentration of semi-classical states for nonlinear Dirac equations
• Solutions of nonlinear Dirac equations
• On semiclassical states of a nonlinear Dirac equation
• Nonlinear Spinor Field
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory
• On decay of solutions to nonlinear Schrödinger equations
• Variational methods in relativistic quantum mechanics
• STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
• Elliptic Partial Differential Equations of Second Order
• Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities
• Existence and concentration of semi-classical solutions for a nonlinear Maxwell-Dirac system
• Nonlinear Spinor Fields
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
• On interacting bumps of semi-classical states of nonlinear Schrödinger equations.