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Existence and multiplicity results for classes of elliptic resonant problems
Authors:Jiabao Su
Institution:Department of Mathematics, Capital Normal University, Beijing 100037, People's Republic of China
Abstract:In this paper we prove some new existence results of nontrivial solutions for classes of elliptic resonant problems. We also establish several multiplicity results. The methods used here are based on combining the minimax methods and the Morse theory especially some new observations on the critical groups of a local linking-type degenerate critical point.
Keywords:Semilinear elliptic equation  Resonance  Critical group  Degenerate critical point  Morse theory  Mountain pass lemma  Local linking
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