Multiplicity of nodal solutions for elliptic problems involving non-odd nonlinearities |
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Authors: | Tsung-fang Wu |
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Affiliation: | Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan |
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Abstract: | In this paper, we study the effect of domain shape on the number of 2-nodal solutions for the semilinear elliptic equation involving non-odd nonlinearities. We prove that a semilinear elliptic equation in an m-bump domain (possibly unbounded) has m2 2-nodal solutions and we can find a least energy nodal solution in those solutions. Furthermore, we can describe the bump location of these solutions. |
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Keywords: | Nehari manifold Non-odd nonlinearities 2-nodal solutions |
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