The existence of three nontrivial solutions of a class of elliptic systems

DOI10.1016/S0362-546X(01)00117-1zbMath1030.35047MaRDI QIDQ5960815

Pei-Hao Zhao, Wujie Zhou, Cheng-Kui Zhong

Publication date: 8 August 2002

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

zbMATH Keywords

product spaceLinking theoremNehari manifoldnonlinear elliptic system

Mathematics Subject Classification ID

Related Items (9)

Existence of three nontrivial solutions for an elliptic system ⋮ Existence and multiple solutions for a variable exponent system ⋮ Noncooperative elliptic systems ⋮ The existence of positive solution of elliptic system by a linking theorem on product space. ⋮ Nontrivial solutions for a quasilinear elliptic system ⋮ Existence of three nontrivial solutions for elliptic systems with critical exponents and weights ⋮ Existence of nonzero weak solutions for a class of elliptic variational inclusions systems in \(\mathbb R^N\) ⋮ Existence of positive solutions for a second-order ordinary differential system ⋮ Monotonicity methods for noncooperative elliptic systems

Cites Work

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• Minimax theorems
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• Nonlinear elliptic boundary value problems at resonance
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• Nonzero solutions of a nonlinear elliptic system at resonance
• Necessary and sufficient condition for the existence of positive solutions of certain cooperative system
• Equivalent Norms for Sobolev Spaces

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