Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
From MaRDI portal
Publication:1582102
DOI10.1016/S0362-546X(98)00308-3zbMath0993.35081OpenAlexW2043504021MaRDI QIDQ1582102
Publication date: 19 September 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00308-3
NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (90)
Segregated vector solutions for nonlinear Schrödinger systems with electromagnetic potentials ⋮ Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields ⋮ Ground state solution for a nonlinear fractional magnetic Schrödinger equation with indefinite potential ⋮ Concentration for a biharmonic Schrödinger equation ⋮ Existence in the nonlinear Schrödinger equation with bounded magnetic field ⋮ Semi-classical states for fractional Schrödinger equations with magnetic fields and fast decaying potentials ⋮ Construction of solutions for the nonlinear magnetic Schrödinger equation in RN ⋮ Ground states for fractional magnetic operators ⋮ On an electromagnetic Schrödinger equation with critical growth ⋮ Optimal magnetic Sobolev constants in the semiclassical limit ⋮ Solution of perturbed Schrödinger system with critical nonlinearity and electromagnetic fields ⋮ Concentration phenomena for fractional magnetic NLS equations ⋮ Least energy solutions for semilinear Schrödinger systems with electromagnetic fields and critical growth ⋮ Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations ⋮ The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field ⋮ Multi-peak Solutions of a Nonlinear Schrödinger Equation with Magnetic Fields ⋮ Ground state solutions for Schrödinger problems with magnetic fields and Hardy-Sobolev critical exponents ⋮ Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well ⋮ Multiple complex-valued solutions for the nonlinear Schrödinger equations involving magnetic potentials ⋮ Existence and Multiplicity Results for a Class of Nonlinear Schrödinger Equations with Magnetic Potential Involving Sign-Changing Nonlinearity ⋮ Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth ⋮ Existence of nontrivial solutions for perturbed \(p\)-Laplacian system involving critical nonlinearity and magnetic fields ⋮ New critical point theorem and infinitely many small-magnitude solutions of a nonlinear Iwatsuka model ⋮ Concentration for a bi-harmonic Schrödinger equation with critical nonlinearity ⋮ Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity ⋮ Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\) ⋮ Existence of infinitely many weak solutions to Kirchhoff–Schrödinger–Poisson systems and related models ⋮ Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities ⋮ Existence of solution for magnetic Schrödinger equation with the Neumann boundary condition ⋮ On a fractional magnetic Schrödinger equation in \(\mathbb{R}\) with exponential critical growth ⋮ Multi-bump solutions for fractional Schrödinger equation with electromagnetic fields and critical nonlinearity ⋮ Multiplicity results for variable-order nonlinear fractional magnetic Schrödinger equation with variable growth ⋮ On the ground states for the X‐ray free electron lasers Schrödinger equation ⋮ Least energy solutions for semilinear Schrödinger equation with electromagnetic fields and critical growth ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions ⋮ Infinitely many solutions for nonlinear Schrödinger equations with electromagnetic fields ⋮ Bound states of nonlinear Schrödinger equations with magnetic fields ⋮ Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent ⋮ On the least energy solutions for semilinear Schrödinger equation with electromagnetic fields involving critical growth and indefinite potentials ⋮ Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities ⋮ Existence and concentration results for some fractional Schrödinger equations in RN with magnetic fields ⋮ A critical fractional Choquard–Kirchhoff problem with magnetic field ⋮ Unnamed Item ⋮ Concentration on curves for a nonlinear Schrödinger problem with electromagnetic potential ⋮ Multiple solutions for a semilinear elliptic equation with critical growth and magnetic field ⋮ Multi-bump solutions for the nonlinear magnetic Schrödinger equation with exponential critical growth in \(\mathbb{R}^2 \) ⋮ Multiplicity of solutions of perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in \(\mathbb R^N\) ⋮ Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field ⋮ Multi-bump bound states for a nonlinear Schrödinger system with electromagnetic fields ⋮ A new critical point theorem and small magnitude solutions of magnetic Schrödinger equations with Landau levels ⋮ A multiplicity result for singular NLS equations with magnetic potentials ⋮ Existence of multi-bump solutions for the magnetic Schrödinger-Poisson system in \(\mathbb{R}^3\) ⋮ Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field ⋮ Existence results for nonlinear Schrödinger systems with electromagnetic fields in ℝN ⋮ Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency ⋮ Interpolation inequalities and spectral estimates for magnetic operators ⋮ Infinitely many solutions for the nonlinear Schrödinger equations with magnetic potentials in $\mathbb {R}^{N}$RN ⋮ Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations ⋮ Nonlocal Schrödinger-Kirchhoff equations with external magnetic field ⋮ ON THE LOCATION OF SPIKES FOR THE SCHRÖDINGER EQUATION WITH ELECTROMAGNETIC FIELD ⋮ On multi-bump solutions of nonlinear Schrödinger equation with electromagnetic fields and critical nonlinearity in \(\mathbb {R}^N\) ⋮ Boundedness and decay of solutions for some fractional magnetic Schrödinger equations in \(\mathbb{R}^N\) ⋮ Multiplicity and concentration of solutions for a fractional Kirchhoff equation with magnetic field and critical growth ⋮ Multiple solutions to a nonlinear Schrödinger equation with Aharonov-Bohm magnetic potential ⋮ Multiplicity results of nonlinear fractional magnetic Schrödinger equation with steep potential ⋮ Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions ⋮ On the number of solutions of NLS equations with magnetics fields in expanding domains ⋮ A local mountain pass approach for a class of fractional NLS equations with magnetic fields ⋮ Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields ⋮ Infinitely many solutions for a nonlinear Schrödinger equation with non-symmetric electromagnetic fields ⋮ Weighted spectral gap for magnetic Schrödinger operators with a potential term ⋮ Multiple semiclassical solutions for a nonlinear Choquard equation with magnetic field ⋮ On the least energy solutions of nonlinear Schrödinger equations with electromagnetic fields ⋮ Solutions of perturbed Schrödinger equations with electromagnetic fields and critical nonlinearity ⋮ Multiplicity and concentration results for magnetic relativistic Schrödinger equations ⋮ Multiplicity and concentration results for a fractional Schrödinger-Poisson type equation with magnetic field ⋮ Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields ⋮ Periodic and Bloch Solutions to a Magnetic Nonlinear Schrödinger Equation ⋮ Concentrating solutions for a magnetic Schrödinger equation with critical growth ⋮ Nonlinear Schrödinger equation with bounded magnetic field ⋮ Soliton dynamics for the nonlinear Schrödinger equation with magnetic field ⋮ Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth ⋮ Existence and concentration of nontrivial solutions for a fractional magnetic Schrödinger-Poisson type equation ⋮ On some p-Laplacian equation with electromagnetic fields and critical nonlinearity in ℝN ⋮ Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials ⋮ Semiclassical solutions for a class of Schrödinger system with magnetic potentials ⋮ Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field ⋮ Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields ⋮ Semiclassical states for NLS equations with magnetic potentials having polynomial growths ⋮ Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.
This page was built for publication: Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields