Existence and multiplicity of nodal solutions for Dirichlet problems in upper half strip with holes |
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| Authors: | Tsung-fang Wu |
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| Institution: | aDepartment of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan |
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| Abstract: | In this paper, we consider the existence and multiplicity of nodal solutions of semilinear elliptic equations. We prove that a semilinear elliptic equation in large domains does not admit any least energy nodal (sign-changing) solution and in an upper half strip with m-holes has at least m2 2-nodal solutions. |
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| Keywords: | Semilinear elliptic equations Nodal solutions Nehari manifold |
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