Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector
Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector
复制标题
超球面混合边界条件椭圆方程正解的对称性
DOI：
10.1007/s00526-021-01999-3
复制
发表时间：
2021
影响因子：
2.1
通讯作者：
Gui, Changfeng
中科院分区：
文献类型：
--
作者：
Yao, Ruofei;Chen, Hongbin;Gui, Changfeng
本文建立了半线性椭圆型方程混合边值问题正解的对称性结果。特别地，我们证明了在超球面扇区中的正解必须是对称的。同时证明了其单调性。我们的证明是基于著名的移动平面方法。
In this paper we establish some symmetry results for positive solutions of semilinear elliptic equations with mixed boundary conditions. In particular, we show that the positive solution in a super-spherical sector must be symmetric. The monotonicity property is also proved. Our proof is based on the well-known moving plane methods.