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Some Symmetry Results for the A-Laplacian Equation via the Moving Planes Method
School of Mathematical Sciences, Ocean University of China, Qingdao, China
School of Mathematical Sciences, Ocean University of China, Qingdao, China
- 1 School of Mathematical Sciences, Ocean University of China, Qingdao, China
- 2 School of Mathematical Sciences, Ocean University of China, Qingdao, China
Advances in Pure Mathematics·Volume 02 (2012)·Pages 363–366·Published 9 November 2012·DOI10.4236/apm.2012.26053
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Abstract
In this paper, we are concerned with a positive solution of the non-homogeneous A-Laplacian equation in an open bounded connected domain. We use moving planes method to prove that the domain is a ball and the solution is radially symmetric.
KeywordsSymmetryA-LaplacianMoving Planes MethodOverdetermined Boundary Value Problem
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