Infinitely many solutions for cooperative elliptic systems with odd nonlinearity

DOI10.1016/j.na.2008.12.012zbMath1170.35388OpenAlexW2012556117MaRDI QIDQ1030031

Shiwang Ma

Publication date: 1 July 2009

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.2008.12.012

zbMATH Keywords

odd nonlinearitycooperative elliptic systemsminimax technique

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (9)

Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms ⋮ Multiple solutions of superlinear cooperative elliptic systems at resonant ⋮ Asymptotically or super linear cooperative elliptic systems in the whole space ⋮ Infinitely many periodic solutions for asymptotically linear Hamiltonian systems ⋮ Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups ⋮ Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms ⋮ 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

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• Nonlinear differential problems and Morse theory
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• Periodic solutions for second order systems with not uniformly coercive potential

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