Boundary blow-up for a Brezis-Peletier problem on a singular domain

被引:9
|
作者
Pistoia, A [1 ]
Rey, O
机构
[1] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat, I-00100 Rome, Italy
[2] Ecole Polytech, Ctr Math, F-91128 Palaiseau, France
关键词
D O I
10.1007/s00526-003-0197-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let (Ω) over tilde is an element of R-N, Ngreater than or equal to3, be a bounded domain as defined by Flucher, Garroni and Muller [6], which has a singular point (x) over bar is an element of partial derivative(Ω) over tilde such that the Robin's function achieves its infimum at (x) over bar. Considering the elliptic problem (P-epsilon):-Deltau=u(p-epsilon), u>0 in (Ω) over tilde; u=0 on partial derivative(Ω) over tilde, with p=(N+2)/(N-2), epsilon>0, and u(epsilon) a minimizing solution of (P-epsilon), u(epsilon) concentrates at (x) over bar as epsilon goes to zero.
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页码:243 / 251
页数:9
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