The p-Laplacian in domains with small random holes.

被引：0

作者：

Balzano, M ^{[1
]}

Durante, T ^{[1
]}

机构：

[1] Univ Cassino, Dipartimento Automaz Elettromagnetismo Ingn Infor, I-03043 Cassino, FR, Italy

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2003年 / 6B卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate sequences of nonlinear Dirichlet problems of the form (P-h) div {- div(\Du(h)\(p-2) Du(h)) = g in D\E-h u(h) is an element of H-0(1,P) (D\E-h) where 2 less than or equal to p less than or equal to n and E-h are random subsets of a bounded open set D of R-n (n greater than or equal to 2). By means of a variational approach, we study the asymptotic behaviour of solutions of (P-h), characterizing the limit problem for suitable sequences of random sets.

引用

页码：435 / 458

页数：24

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