Asymptotically or super linear cooperative elliptic systems in the whole space

DOI10.1007/s11425-013-4567-3zbMath1279.35037OpenAlexW1534363335MaRDI QIDQ365853

Shiwang Ma, Guan-Wei Chen

Publication date: 9 September 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4567-3

zbMATH Keywords

asymptotically linearsuperlinearground state solutionscooperative elliptic systems

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47)

Related Items

Multiple entire solutions of fractional Laplacian Schrödinger equations, Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms, Solutions on asymptotically periodic elliptic system with new conditions, Discrete nonlinear Schrödinger equations with superlinear nonlinearities, Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms, Ground states of nonlinear Schrödinger systems with periodic or non-periodic potentials, Non-Nehari manifold method for asymptotically periodic Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• Discrete nonlinear Schrödinger equations with superlinear nonlinearities
• Periodic solutions for Hamiltonian systems without Ambrosetti-Rabinowitz condition and spectrum 0
• Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups
• Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities
• Solutions for periodic Schrödinger equation with spectrum zero and general superlinear nonlinearities
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Solutions for discrete periodic Schrödinger equations with spectrum 0
• Infinitely many solutions for cooperative elliptic systems with odd nonlinearity
• Ground state solutions for some indefinite variational problems
• Elliptic resonant problems at higher eigenvalues with an unbounded nonlinear term
• Solutions for resonant elliptic systems with nonodd or odd nonlinearities
• The computations of the critical groups with an application to elliptic resonant problems at a higher eigenvalue
• A variational approach to subquadratic perturbations of elliptic systems
• Asymptotically linear cooperative elliptic system: existence and multiplicity
• Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition
• A unified approach to a class of strongly indefinite functionals
• Minimax theorems
• Erratum to: ``Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms
• Infinitely many solutions for Hamiltonian systems
• Homoclinic orbits of superlinear Hamiltonian systems
• Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
• Nonlinear differential problems and Morse theory
• Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
• On a Schrodinger equation with periodic potential and spectrum point zero
• Multiple solutions for asymptotically linear elliptic systems