Nonexistence of Solutions of a Semilinear Biharmonic Equation with Singular Potential

被引：0
作者：
Sh. G. Bagyrov
机构：
[1] Baku State University,Institute of Mathematics and Mechanics
[2] National Academy of Sciences of Azerbaijan,undefined
来源：
Mathematical Notes | 2018年 / 103卷
关键词：
semilinear elliptic equation; biharmonic operator; global solution; critical exponent; test function method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The nonexistence of a global solution of the semilinear elliptic equation Δ2u − (C/|x|4)u − |x|σ|u|q = 0 in the exterior of a ball is studied. A sufficient condition for the nonexistence of a global solution is established. The proof is based on the test function method.
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页码：24 / 32
页数：8
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