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The Neumann problem of an elliptic equation with strong resonance
Authors:Aixia Qian
Affiliation:Department of Mathematics, Qufu Normal University, Qufu Shandong, 273165, People’s Republic of China
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.
Keywords:Strong resonance   Morse theory   Nodal set
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