Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions
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Publication:5192130
DOI10.1051/cocv:2008055zbMath1221.35393arXiv0710.3227OpenAlexW2141002191MaRDI QIDQ5192130
Louis Jeanjean, Silvia Cingolani, Simone Secchi
Publication date: 4 August 2009
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.3227
NLS equations (nonlinear Schrödinger equations) (35Q55) Electromagnetic theory (general) (78A25) Variational methods for second-order elliptic equations (35J20)
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Cites Work
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- Nonlinear scalar field equations. I: Existence of a ground state
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields
- Single-peaks for a magnetic Schrödinger equation with critical growth
- Erratum: Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- On a class of nonlinear Schrödinger equations
- Existence of solitary waves in higher dimensions
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- On a singularly perturbed elliptic equation
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields
- Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.
- A semilinear Schrödinger equation in the presence of a magnetic field
- Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations
- Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- On the Schrödinger equation involving a critical Sobolev exponent and magnetic field
- Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- ON THE LOCATION OF SPIKES FOR THE SCHRÖDINGER EQUATION WITH ELECTROMAGNETIC FIELD
- Semiclassical states for NLS equations with magnetic potentials having polynomial growths
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Standing Waves for Nonlinear Schrodinger Equations with a General Nonlinearity: One and Two Dimensional Cases
- Periodic and Bloch Solutions to a Magnetic Nonlinear Schrödinger Equation
- Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
- Homoclinic type solutions for a semilinear elliptic PDE on ℝn
- Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
- A Note on a Mountain Pass Characterization of Least Energy Solutions
- On the Variational Approach to the Stability of Standing Waves for the Nonlinear Schrödinger Equation
- A remark on least energy solutions in $\mathbf {R}^N$
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Multiplicity results for some nonlinear Schrödinger equations with potentials
