发布时间：2025-04-30

论文名称：A free boundary problem for p-Laplacian in the plane

发表刊物：J. Math. Anal. Appl., 380（2011）, 10-16.

摘要：Abstract:
We  consider  the following free boundary problem in an unbounded
domain $Omega$ in two dimensions: $Delta_p u=0$ in  $Omega$,
$u=0, frac{partial{u}}{partial n}=g_0$ on $J_0$, $u=1,
frac{partial{u}}{partial n}=g_1$ on $J_1$, where
$partialOmega=J_0cup J_1$. We prove that if $0<u<1$ in $Omega$,
$J_i$ is the  graph of a function in $C^{1,alpha}_{loc}({
l})$ and
$g_i$ is a  constant for each $i=0,1$, then the free boundary
$partialOmega$ must be two parallel straight lines and the
solution $u$ must be a linear function. The proof is based on
  maximum principle.

合写作者： Wang Lihe, Wang Lizhou

是否译文：否

发表时间：2011-11-11