The Neumann problem of an elliptic equation with strong resonance |
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Authors: | Aixia Qian |
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Affiliation: | Department of Mathematics, Qufu Normal University, Qufu Shandong, 273165, People’s Republic of China |
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Abstract: | In the present paper, we consider a class of strong resonance problems for nonlinear elliptic Neumann BVPs, and establish existence and multiplicity results for positive, negative and sign-changing solutions by using a Morse theoretical approach. |
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Keywords: | Strong resonance Morse theory Nodal set |
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