An elliptic semilinear equation with source term involving boundary measures: the subcritical case
An elliptic semilinear equation with source term involving boundary measures: the subcritical case
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DOI：
10.4171/rmi/281
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发表时间：
2000-12
影响因子：
1.2
通讯作者：
M. Bidaut-Véron;L. Vivier
中科院分区：
文献类型：
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作者：
M. Bidaut-Véron;L. Vivier
研究了RN（N = 2）中有界正则区域O上半线性椭圆型方程非负解的边界性态，i？u + uq = 0，在O i i u = µ中，on？其中1 < q <（N + 1）/（N - 1），μ是上的氡测度？O.我们给出了先验估计和存在性结果。本文主要研究一类加权Marcinkiewicz空间中的超调和函数。
We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain O of RN (N = 2), i ?u + uq = 0, in O i i u = µ, on ?O where 1 < q < (N + 1)/(N - 1) and µ is a Radon measure on ?O. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.