Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups

DOI10.1016/J.NA.2010.08.013zbMath1202.35086OpenAlexW2065775611MaRDI QIDQ607102

Shiwang Ma

Publication date: 19 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.08.013

zbMATH Keywords

Morse theorycritical groupcooperative elliptic systems

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Boundary value problems for second-order elliptic systems (35J57)

Related Items (10)

Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms ⋮ Multiple solutions of superlinear cooperative elliptic systems at resonant ⋮ Solutions on asymptotically periodic elliptic system with new conditions ⋮ Asymptotically or super linear cooperative elliptic systems in the whole space ⋮ Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms ⋮ Nontrivial periodic motions for resonant type asymptotically linear lattice dynamical systems ⋮ Ground states of nonlinear Schrödinger systems with periodic or non-periodic potentials ⋮ Nonexistence and multiplicity of solutions for nonlinear elliptic systems in \(\mathbb{R}^N\) ⋮ Infinitely many solutions for resonance elliptic systems ⋮ Ground state solutions for resonant cooperative elliptic systems with general superlinear terms

Cites Work

• Unnamed Item
• Unnamed Item
• Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems
• Infinitely many solutions for cooperative elliptic systems with odd nonlinearity
• Critical point theory and Hamiltonian systems
• Nontrivial periodic solutions for the asymptotically linear Hamiltonian systems with resonance at infinity
• 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
• Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities
• A variational approach to subquadratic perturbations of elliptic systems
• Computations of the critical groups and the nontrivial solutions for resonant type asymptotically linear Hamiltonian systems.
• Infinite dimensional Morse theory and multiple solution problems
• Periodic solutions for a class of nonautonomous subquadratic second order Hamiltonian systems.
• Maslov-type index and periodic solution of asymptotically linear Hamiltonian systems which are resonant at infinity
• Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition
• On differentiable functions with isolated critical points
• Infinitely many solutions for Hamiltonian systems
• Nontrivial solutions for resonant noncooperative elliptic systems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
• A variational approach to noncooperative elliptic systems
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
• Multiple solutions for asymptotically linear elliptic systems
• Multiple solutions for second-order Hamiltonian systems via computation of the critical groups
• Periodic solutions for second order systems with not uniformly coercive potential
• Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance

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