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Symmetry and monotonicity of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical cone |
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| Authors: | |
| Institution: | 1.School of Mathematics and Statistics,Xi’an Jiaotong University,Xi’an,China;2.School of Mathematics and Statistics,Central South University,Changsha,China;3.Department of Mathematics,California State University Northridge,Northridge,USA |
| Abstract: | In this paper, we study symmetry and monotonicity properties for positive solutions of semilinear elliptic equations with mixed boundary conditions. We establish a version of the maximum principle for mixed boundary conditions in a narrow domain, and prove the positive solution in super-spherical cone is axially symmetric and monotone in some direction by the methods of moving planes. |
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