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Existence and multiplicity results for some elliptic systems at resonance. (English) Zbl 1172.35382

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:

35J55 Systems of elliptic equations, boundary value problems (MSC2000)
35J50 Variational methods for elliptic systems
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
35D05 Existence of generalized solutions of PDE (MSC2000)
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References:

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