Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
From MaRDI portal
Publication:338457
DOI10.1016/j.jde.2016.09.034zbMath1352.35141arXiv1609.06683OpenAlexW2522538282MaRDI QIDQ338457
Giovany M. Figueiredo, Marcos T. O. Pimenta
Publication date: 4 November 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.06683
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (21)
Existence and asymptotics of ground states to the nonlinear Dirac equation with Coulomb potential ⋮ Semiclassical states for Dirac-Klein-Gordon system with critical growth ⋮ Existence of positive solutions for a critical fractional Kirchhoff equation with potential vanishing at infinity ⋮ Nonrelativistic limit and nonexistence of stationary solutions of nonlinear Dirac equations ⋮ Fractional Schrödinger equations involving potential vanishing at infinity and supercritical exponents ⋮ Existence and multiplicity of solutions for a class of Dirac equations ⋮ Existence of semiclassical solutions for some critical Dirac equation ⋮ Existence and exponential decay of ground-state solutions for a nonlinear Dirac equation ⋮ On the ground state to Hamiltonian elliptic system with Choquard's nonlinear term ⋮ An infinite sequence of localized semiclassical bound states for nonlinear Dirac equations ⋮ Existence of positive solutions for a class of critical fractional Schrödinger-Poisson system with potential vanishing at infinity ⋮ On semiclassical states for Dirac equations ⋮ Existence of solutions for a class of Schrödinger equations in \({\mathbb{R}}^N\) with magnetic field and vanishing potential ⋮ On the concentration of semiclassical states for nonlinear Dirac equations ⋮ Semiclassical states for nonlinear Dirac equations with singular potentials ⋮ The concentration behavior of ground state solutions for nonlinear Dirac equation ⋮ Existence of ground state solutions to Hamiltonian elliptic system with potentials ⋮ An index theory with applications to homoclinic orbits of Hamiltonian systems and Dirac equations ⋮ Ground state solutions for asymptotically periodic nonlinearities for Kirchhoff problems ⋮ Infinitely many localized semiclassical states for critical nonlinear Dirac equations ⋮ \(L^2\)-normalized solitary wave solutions of a nonlinear Dirac equation
Cites Work
- Unnamed Item
- Unnamed Item
- Semi-classical limits of ground states of a nonlinear Dirac equation
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of stationary states for nonlinear Dirac equations
- On a class of nonlinear Schrödinger equations
- Stationary states of the nonlinear Dirac equation: A variational approach
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
- Localized concentration of semi-classical states for nonlinear Dirac equations
- Existence of least energy positive, negative and nodal solutions for a class of \(p \& q\)-problems with potentials vanishing at infinity
- Solutions of nonlinear Dirac equations
- On ground state solutions for a superlinear Dirac equation
- On decay of solutions to nonlinear Schrödinger equations
- STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
- Ground state solutions for nonperiodic Dirac equation with superquadratic nonlinearity
This page was built for publication: Existence of ground state solutions to Dirac equations with vanishing potentials at infinity