Orlicz capacities and applications to some existence questions for elliptic pdes having measure data

Orlicz capacities and applications to some existence questions for elliptic pdes having measure data
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DOI:
10.1051/cocv:2003015
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发表时间:
2003-03
期刊:
ESAIM: Control, Optimisation and Calculus of Variations
影响因子:
--
通讯作者:
A. Fiorenza;A. Prignet
A. Fiorenza;A. Prignet
中科院分区:
其他
文献类型:
--
作者:
A. Fiorenza;A. Prignet

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我们研究了序列u_n,当f_n趋于一个集中在零Orlicz容量集上的测度时,它是Ω上RN和un=0的开有界集的解。我们考虑了这个容量与N-函数Φ之间的关系,并证明了一个不存在的结果。
We study the sequence u n , which is solution of in Ω an open bounded set of R N and un = 0 on ∂Ω, when f n tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the N -function Φ , and prove a non-existence result.