Existence results for nonlinear Schrödinger systems with electromagnetic fields in ℝN
From MaRDI portal
Publication:5404708
DOI10.1080/17476933.2012.731399zbMath1290.35246OpenAlexW2007081466MaRDI QIDQ5404708
Publication date: 28 March 2014
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2012.731399
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Cites Work
- Multiple solutions for a class of biharmonic elliptic systems with Sobolev critical exponent
- Infinitely many solutions for nonlinear Schrödinger equations with electromagnetic fields
- Multi-peak bound states for Schrödinger equations with compactly supported or unbounded potentials
- Multiplicity and concentration of solutions for elliptic systems with vanishing potentials
- Ground state solutions for the quasilinear Schrödinger equation
- Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields
- Multiplicity and concentration for the nonlinear Schrödinger equation with critical frequency
- Multi-bump bound states of Schrödinger equations with a critical frequency
- Multi-peak positive solutions for nonlinear Schrödinger equations with critical frequency
- A multiplicity result for singular NLS equations with magnetic potentials
- On the least energy solutions of nonlinear Schrödinger equations with electromagnetic fields
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Multiple positive solutions for a nonlinear Schrödinger equation
- Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
- 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
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- New solutions for nonlinear Schrödinger equations with critical nonlinearity
- Multiplicity results for some nonlinear Schrödinger equations with potentials
