Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\)
From MaRDI portal
Publication:961092
DOI10.1016/j.jmaa.2010.01.002zbMath1187.35055OpenAlexW2088067020MaRDI QIDQ961092
Junxiang Xu, Jun Wang, Fubao Zhang
Publication date: 29 March 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.01.002
Variational methods for elliptic systems (35J50) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Second-order elliptic systems (35J47)
Related Items
Infinitely many solutions for a Hénon-type system in hyperbolic space ⋮ Multiple solutions for asymptotically quadratic and superquadratic elliptic system of Hamiltonian type ⋮ Existence and multiplicity of semiclassical solutions for asymptotically Hamiltonian elliptic systems ⋮ Non-cooperative elliptic systems modeling interactions of Bose-Einstein condensates in \(\mathbb{R}^N\) ⋮ Ground state solutions of Nehari-Pankov type for a superlinear elliptic system on RN ⋮ Ground states and multiple solutions for Hamiltonian elliptic system with gradient term ⋮ Infinitely many solutions for superlinear periodic Hamiltonian elliptic systems ⋮ Existence of solutions for periodic elliptic system with general superlinear nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- On a periodic Schrödinger equation with nonlocal superlinear part
- Solutions of elliptic problems with nonlinearities of linear growth
- Bound states for semilinear Schrödinger equations with sign-changing potential
- On a diffusion system with bounded potential
- Critical point theorems for indefinite functionals
- On a nonlinear Schrödinger equation with periodic potential
- On the number of solutions of nonlinear Schrödinger equations and on unique continuation
- On the existence and shape of least energy solutions for some elliptic systems.
- On the existence of positive solutions of a perturbed Hamiltonian system in \({\mathbb R}^N\)
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Differential systems with strongly indefinite variational structure
- Homoclinic orbits for a nonperiodic Hamiltonian system
- Existence and multiplicity of solutions for a non-periodic Schrödinger equation
- Multiple solutions of nonlinear elliptic systems
- Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
- An Orlicz-space approach to superlinear elliptic systems
- Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems
- Asymptotically Linear Elliptic Systems
- Deformation theorems on non-metrizable vector spaces and applications to critical point theory
- Decay, symmetry and existence of solutions of semilinear elliptic systems
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- On Superquadratic Elliptic Systems
- An infinite dimensional Morse theory with applications
- NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
- Strongly indefinite functionals and multiple solutions of elliptic systems
- Homoclinic orbits for asymptotically linear Hamiltonian systems
- On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\).
