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Zbl 1172.35382
Ou, Zeng-Qi; Tang, Chun-Lei
Existence and multiplicity results for some elliptic systems at resonance.
(English)
[J] Nonlinear Anal., Theory Methods Appl. 71, No. 7-8, A, 2660-2666 (2009). ISSN 0362-546X

Summary: The existence and multiplicity of weak solutions for some resonant elliptic systems are obtained by using Ekeland's variational principle, the mountain pass theorem and the saddle point theorem in critical point theory.
MSC 2000:
*35J55 Systems of elliptic equations, boundary value problems
35J50 Systems of elliptic equations, variational methods
58E05 Abstract critical point theory
35D05 Existence of generalized solutions of PDE

Keywords: resonance; elliptic systems; Ekeland's variational principle; mountain pass theorem; saddle point theorem

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