Existence and concentration of semiclassical solutions for Hamiltonian elliptic system
From MaRDI portal
Publication:906812
DOI10.3934/cpaa.2016.15.599zbMath1333.35053OpenAlexW2524101490MaRDI QIDQ906812
Wen Zhang, Xiaoliang Xie, Jian Zhang
Publication date: 29 January 2016
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.599
Variational methods for elliptic systems (35J50) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
Related Items (20)
On fractional Schrödinger equation with periodic and asymptotically periodic conditions ⋮ Improved results for Klein-Gordon-Maxwell systems with general nonlinearity ⋮ Ground states for a system of nonlinear Schrödinger equations with singular potentials ⋮ Multiple solutions for the fourth-order elliptic equation with vanishing potential ⋮ Ground state solutions for asymptotically periodic fractional Schrödinger-Poisson problems with asymptotically cubic or super-cubic nonlinearities ⋮ Ground states for \(K\)-component coupled nonlinear Schrödinger equations with two types of strongly indefinite structure ⋮ Ground state solutions of Nehari-Pankov type for a superlinear elliptic system on RN ⋮ Concentration behavior of semiclassical solutions for Hamiltonian elliptic system ⋮ Ground states and multiple solutions for Hamiltonian elliptic system with gradient term ⋮ Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system ⋮ Existence of ground states solutions for Dirac-Poisson systems ⋮ Existence and concentration properties of ground state solutions for elliptic systems ⋮ Multiple solutions of nonlinear Schrödinger equations with the fractional \(p\)-Laplacian ⋮ Ground state solutions for Hamiltonian elliptic system with inverse square potential ⋮ Nontrivial solutions for a class of Hamiltonian elliptic system with gradient term ⋮ Standing wave solutions of Maxwell-Dirac systems ⋮ Existence and decay property of ground state solutions for Hamiltonian elliptic system ⋮ Non-Nehari manifold method for Hamiltonian elliptic system with Hardy potential: existence and asymptotic properties of ground state solution ⋮ Ground states of \(K\)-component coupled nonlinear Schrödinger equations with inverse-square potential ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Semi-classical limits of ground states of a nonlinear Dirac equation
- Semiclassical limits of ground state solutions to Schrödinger systems
- Ground state solutions for a diffusion system
- On Hamiltonian elliptic systems with periodic or non-periodic potentials
- A note on a superlinear and periodic elliptic system in the whole space
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
- Solutions of a class of Hamiltonian elliptic systems in \(\mathbb R^N\)
- Ground state solutions for some indefinite variational problems
- Semiclassical states of nonlinear Schrödinger equations
- On the existence and shape of least energy solutions for some elliptic systems.
- On a singularly perturbed elliptic equation
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- On concentration of positive bound states of nonlinear Schrödinger equations
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- 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
- Stationary states of the nonlinear Dirac equation: A variational approach
- Minimax theorems
- Existence and multiplicity of solutions for asymptotically linear nonperiodic Hamiltonian elliptic system
- Multiple solutions for a superlinear and periodic elliptic system on \({\mathbb{R}^N}\)
- Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities
- Ground state solutions for superlinear elliptic systems on \(\mathbb R^N\)
- Multiple solutions for superlinear elliptic systems of Hamiltonian type
- Semiclassical solutions for a class of Schrödinger system with magnetic potentials
- Existence of solutions for periodic elliptic system with general superlinear nonlinearity
- Multiple solutions of nonlinear elliptic systems
- A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations
- Ground-state solutions for superquadratic Hamiltonian elliptic systems with gradient terms
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- On semiclassical states of a nonlinear Dirac equation
- Existence of semiclassical ground-state solutions for semilinear elliptic systems
- Ground State Solutions of Nehari–Pankov Type for a Superlinear Hamiltonian Elliptic System on ℝN
- Asymptotically Linear Elliptic Systems
- Deformation theorems on non-metrizable vector spaces and applications to critical point theory
- A note on superlinear Hamiltonian elliptic systems
- STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
- Elliptic Partial Differential Equations of Second Order
- Decay, symmetry and existence of solutions of semilinear elliptic systems
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- ON SEMICLASSICAL GROUND STATES OF A NONLINEAR DIRAC EQUATION
- Infinitely many solutions for asymptotically linear periodic Hamiltonian elliptic systems
- On semiclassical ground state solutions for Hamiltonian elliptic systems
- On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\).
This page was built for publication: Existence and concentration of semiclassical solutions for Hamiltonian elliptic system