Nonexistence of solutions to systems of higher-order semilinear inequalities in cone-like domains

被引：0
作者：
El Hamidi, Abdallah [1 ]
Laptev, Gennady G. [2 ]
机构：
[1] Univ La Rochelle, Math Lab, F-17000 La Rochelle, France
[2] Steklov Math Inst, Dept Funct Theory, Moscow 117966, Russia
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2002年
关键词：
nonexistence; blow-up; higher-order differential inequalities; critical exponent;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain nonexistence results for global solutions to the system of higher-order semilinear partial differential inequalities [GRAPHIES] in cones and cone- like domains in R-N, t > 0. Our results apply to nonnegative solutions and to solutions which change sign. Moreover, we provide a general formula of the critical exponent corresponding to this system. Our proofs are based on the test function method, developed by Mitidieri and Pohozaev.
引用
收藏
页数：19
相关论文
共 28 条
123