Uniqueness for an overdetermined boundary value problem for the p-Laplacian

被引：2

作者：

Bahrami, F

Shahgholian, H

机构：

[1] Univ Tehran, Dept Math, Tehran, Iran

[2] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 03期

关键词：

inverse domain problem; p-Laplacian; uniqueness;

D O I：

10.1090/S0002-9939-98-04087-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For p > 1 set Delta(p)u = div(\del u\(p-2)del u), and let mu be a measure with compact support. Suppose, for j = 1, 2, there are functions u(j) is an element of W-1,W-p and (bounded) domains Omega(j), both containing the support of mu with the property that Delta(p)u(j) = chi(Omega j) - mu in R-N (weakly) and u(j) = 0 in the complement of Omega(j). If in addition Omega(1) boolean AND Omega(2) is convex, then Omega(1) = Omega(2) and u(1) = u(2).

引用

页码：745 / 750

页数：6

共 12 条

[1]

Gustafsson B, 1996, J REINE ANGEW MATH, V473, P137

[2] ON QUADRATURE DOMAINS AND AN INVERSE PROBLEM IN POTENTIAL-THEORY [J].