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Zbl 1194.35140
Suo, Hong-Min; Tang, Chun-Lei
Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 1909-1920 (2010). ISSN 0362-546X

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 2000:
*35J57
35J47
35J50 Systems of elliptic equations, variational methods
58E05 Abstract critical point theory

Keywords: elliptic systems; near resonance; saddle point theorem; nonprincipal eigenvalue

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