Existence and multiplicity results for classes of elliptic resonant problems |
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Authors: | Jiabao Su |
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Institution: | Department of Mathematics, Capital Normal University, Beijing 100037, People's Republic of China |
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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. |
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Keywords: | Semilinear elliptic equation Resonance Critical group Degenerate critical point Morse theory Mountain pass lemma Local linking |
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