Nonexistence of nonnegative entire solutions of semilinear elliptic systems

被引：0
|
作者：
Gladkov, Alexander [1 ,2 ]
Sergeenko, Sergey [3 ]
机构：
[1] Belarusian State Univ, Dept Mech & Math, Minsk, BELARUS
[2] RUDN Univ, Peoples Friendship Univ Russia, Moscow, Russia
[3] Vitebsk State Univ, Dept Math & Informat Technol, Vitebsk, BELARUS
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2022年 / 67卷 / 01期
关键词：
Semilinear elliptic system; entire solutions; nonexistence; POSITIVE ENTIRE SOLUTIONS; RADIAL SOLUTIONS; EXISTENCE; THEOREM;
D O I：
10.1080/17476933.2020.1816983
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the second-order semilinear elliptic system Delta u = p(x)v(alpha), Delta v = q(x)u(beta), where x is an element of R-N, N >= 3, alpha and beta are positive constants, p and q are nonnegative continuous functions. We prove that nontrivial nonnegative entire solutions fail to exist if the functions p and q are of slow decay.
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页码：49 / 60
页数：12
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