Asymptotically linear cooperative elliptic system: existence and multiplicity
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Publication:1863482
DOI10.1016/S0362-546X(02)00148-7zbMath1022.35014MaRDI QIDQ1863482
Publication date: 11 March 2003
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Resonance in context of PDEs (35B34) Variational methods for second-order elliptic equations (35J20)
Related Items (16)
Multiplicity of small negative-energy solutions for a class of semilinear elliptic systems ⋮ Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations ⋮ A multiplicity result for a class of strongly indefinite asymptotically linear second order systems ⋮ 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 ⋮ Existence results for some nonlinear elliptic systems ⋮ Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms ⋮ A numerical method for finding multiple co-existing solutions to nonlinear cooperative systems ⋮ Nonexistence and multiplicity of solutions for nonlinear elliptic systems in \(\mathbb{R}^N\) ⋮ Infinitely many solutions for resonance elliptic systems ⋮ The existence of solutions for a class of semilinear elliptic systems ⋮ Ground state solutions for resonant cooperative elliptic systems with general superlinear terms ⋮ Estimate of Morse index of cooperative elliptic systems and its application to spatial vector solitons ⋮ Existence of infinitely many high energy solutions for a class of fractional Schrödinger systems
Cites Work
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- Asymptotically linear elliptic problems at resonance
- Solutions for resonant elliptic systems with nonodd or odd nonlinearities
- A variational approach to subquadratic perturbations of elliptic systems
- Periodic solutions of asymptotically linear dynamical systems
- A unified approach to a class of strongly indefinite functionals
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- A variational approach to noncooperative elliptic systems
- Multiple solutions for asymptotically linear elliptic systems
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