Overdetermined Problems for Some Fully Non Linear Operators

被引：10
|
作者：
Birindelli, I. [1 ]
Demengel, F. [2 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy
[2] Univ Cergy Pontoise, Lab Anal & Geometrie, Paris, France
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 38卷 / 04期
关键词：
Fully non-linear equations; Overdetermined problems; Symmetry of solutions; 35J25; 35J60; MAXIMUM PRINCIPLE; EIGENVALUE; SYMMETRY; REGULARITY;
D O I：
10.1080/03605302.2012.756521
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the equation |delta u|M a, A (D 2 u)= f(u) in a bounded smooth domain , with both Dirichlet condition u=0 and Neumann condition , where c is a constant, > 1, u is of constant sign and M a, A is one of the Pucci operator. We prove, for different nonlinearities f, that, when a is sufficiently close to A, either u=c=0=f(0) or is a ball, u is radial, and c0 in .
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页码：608 / 628
页数：21
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