Some results for the Gelfand's problem

被引：25
|
作者：
Gladiali, F [1 ]
Grossi, M [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 29卷 / 9-10期
关键词：
blowing up solutions; Green's function;
D O I：
10.1081/PDE-200037754
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under suitable assumptions on Omega subset of R-2, we prove nondegeneracy, uniqueness and star-shapedness of the level sets of solutions to the problem [GRAPHICS] where lambda integral(Omega) e(ulambda) --> 8pi as lambda --> 0.
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页码：1335 / 1364
页数：30
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