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The symmetry of least-energy solutions for semilinear elliptic equations |
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| Authors: | Jann-Long Chern |
| Affiliation: | a Department of Mathematics, National Central University, Chung-Li 32054, Taiwan b Department of Mathematics, National Chung-Cheng University, Minghsiung, Chia-Yi 621, Taiwan |
| Abstract: | In this paper we will apply the method of rotating planes (MRP) to investigate the radial and axial symmetry of the least-energy solutions for semilinear elliptic equations on the Dirichlet and Neumann problems, respectively. MRP is a variant of the famous method of moving planes. One of our main results is to consider the least-energy solutions of the following equation: (∗) |
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