Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\)

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

zbMATH Keywords

variational methodsgeneralized linking theorem\((C)_c\)-condition

Mathematics Subject Classification ID

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 ℝ^N
• 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 \(\mathbb{R}^N\).