Infinitely many localized semiclassical states for critical nonlinear Dirac equations

DOI10.1088/1361-6544/ac149fzbMath1470.58010OpenAlexW3200521262MaRDI QIDQ5005418

Publication date: 10 August 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac149f

zbMATH Keywords

Sobolev critical exponent concentration Pohozaev identity semiclassical states nonlinear Dirac equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (2)

Higher topological type semiclassical states for Sobolev critical Dirac equations with degenerate potential ⋮ The solutions of critical nonlinear Dirac equations with degenerate potential

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
Semi-classical limits of ground states of a nonlinear Dirac equation
Existence of stationary states for nonlinear Dirac equations
Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
Solutions of a nonlinear Dirac equation with external fields
Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
An infinite sequence of localized semiclassical bound states for nonlinear Dirac equations
Stationary states of the nonlinear Dirac equation: A variational approach
\(p\)-Laplacian equations in \(\mathbb{R}^N\) with finite potential via truncation method, the critical case
Potential well and multiplicity of solutions for nonlinear Dirac equations
Localized concentration of semi-classical states for nonlinear Dirac equations
Stationary solutions for the 2D critical Dirac equation with Kerr nonlinearity
Localized nodal solutions for a critical nonlinear Schrödinger equation
Solutions of nonlinear Dirac equations
Improved Sobolev Embedding Theorems for Vector-Valued Functions
Nonlinear Spinor Field
Deformation theorems on non-metrizable vector spaces and applications to critical point theory
Variational methods in relativistic quantum mechanics
STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
Nonlinear Dirac equations with Coulomb-type potentials and nonlinearities resonating at essential spectrums
Boundary value problems for Dirac-type equations
Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities
Sharp decay estimates for critical Dirac equations
Concentration Analysis and Cocompactness
Dirac–Sobolev inequalities and estimates for the zero modes of massless Dirac operators
Nonlinear Spinor Fields

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