Symmetry of solutions of semilinear elliptic problems
Symmetry of solutions of semilinear elliptic problems
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DOI：
10.4171/jems/117
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发表时间：
2008-06
影响因子：
2.6
通讯作者：
Jean Van Schaftingen;M. Willem
中科院分区：
文献类型：
--
作者：
Jean Van Schaftingen;M. Willem
研究了半线性椭圆型方程Dirichlet或Neumann边值问题的最小能量正解或节点解的对称性。证明是基于Bartsch，Weth和Willem（J. Anal.数学、2005）以及安科纳拟连续函数的强极大值原理和这类函数的介值性质。
We study symmetry properties of least energy positive or nodal solutions of semilinear elliptic problems with Dirichlet or Neumann boundary conditions. The proof is based on symmetrizations in the spirit of Bartsch, Weth and Willem (J. Anal. Math., 2005) together with a strong maximum principle for quasi-continuous functions of Ancona and an intermediate value property for such functions.