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

页数：19

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