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Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue. (English) Zbl 1194.35140

Summary: Some multiplicity results of solutions are obtained for a class of elliptic systems which are near resonance with a nonprincipal eigenvalue by the classical saddle point theorem and a local saddle point theorem from critical point theory.

MSC:

35J57 Boundary value problems for second-order elliptic systems
35J47 Second-order elliptic systems
35J50 Variational methods for elliptic systems
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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