Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities
From MaRDI portal
Publication:2449554
DOI10.1007/s00033-013-0317-1zbMath1307.35104OpenAlexW2066294617MaRDI QIDQ2449554
Yanheng Ding, Yuanhong Wei, Min-Bo Yang
Publication date: 8 May 2014
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-013-0317-1
Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
Existence and multiplicity of nontrivial solutions of weakly coupled nonlinear Hartree type elliptic system ⋮ Multiplicity of solutions to linearly coupled Hartree systems with critical exponent ⋮ On nonlocal Choquard system with Hardy-Littlewood-Sobolev critical exponents ⋮ Multiple nodal and semi-nodal solutions to a nonlinear Choquard-type system ⋮ Construction of infinitely many solutions for two-component Bose-Einstein condensates with nonlocal critical interaction ⋮ Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction ⋮ Existence of normalized solutions for the coupled Hartree–Fock type system ⋮ Standing waves with prescribed norm for the coupled Hartree-Fock system ⋮ Classification and qualitative analysis of positive solutions of the nonlinear Hartree type system ⋮ A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: existence and multiplicity of high energy positive solutions ⋮ Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction ⋮ On a coupled Schrödinger system with Stein-Weiss type convolution part ⋮ High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents ⋮ Existence of ground state solutions of the coupled nonlinear Hartree type system with attractive couplings ⋮ Positive ground states for coupled nonlinear Choquard equations involving Hardy-Littlewood-Sobolev critical exponent ⋮ Positive least energy solutions for coupled nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponent ⋮ Ground states of coupled critical Choquard equations with weighted potentials ⋮ Existence and multiplicity of the positive normalized solutions to the coupled Hartree-Fock type nonlocal elliptic system
Cites Work
- Unnamed Item
- Unnamed Item
- A local mountain pass type result for a system of nonlinear Schrödinger equations
- Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
- Positive solutions for a weakly coupled nonlinear Schrödinger system
- Bound states for a coupled Schrödinger system
- Multiple bound states of nonlinear Schrödinger systems
- Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\)
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
- Radial solutions and phase separation in a system of two coupled Schrödinger equations
- On a class of nonlinear Schrödinger equations
- On the existence and regularity of ground states for a nonlinear system of coupled Schrödinger equations in \(\mathbb{R}^N\)
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
- Dual variational methods in critical point theory and applications
- Standing wave solutions of the nonlinear Schrödinger equation in \(\mathbb R^N\)
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
- Semiclassical states for weakly coupled nonlinear Schrödinger systems
- Spikes in two coupled nonlinear Schrödinger equations
- Coupled nonlinear Schrödinger systems with potentials
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Solutions of perturbed Schrödinger equations with critical nonlinearity
- Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
- Symbiotic bright solitary wave solutions of coupled nonlinear Schrödinger equations
- Dyons in affine field theories
- Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction
- Strongly interacting bumps for the Schrödinger–Newton equations
- On regular solutions of a nonlinear equation of Choquard's type
- The Choquard equation and related questions
- Some remarks on Hartree equation
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
- Standing waves of some coupled nonlinear Schrödinger equations
