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Four 2-nodal solutions for a semilinear elliptic equation in a finite strip with a hole |
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| Authors: | Hsiu-chuan Huang |
| Affiliation: | a Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan b Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan |
| Abstract: | In this paper, we study the decomposition of the filtration of the Nehari manifold via the variation of domain shape. We use this result to prove that the semilinear elliptic equation in a finite strip with hole has at least four 2-nodal solutions (solutions with precisely two nodal domains). Furthermore, we can describe the bump location of these solutions. |
| Keywords: | Semilinear elliptic equations Nehari manifold 2-Nodal solutions |
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