A note on nonexistence of radial solutions to semilinear elliptic inequations

被引:0
|
作者
Guedda, M [1 ]
机构
[1] Univ Picardie, Fac Math & Informat, F-80039 Amiens, France
关键词
radial solution; existence; blow up; classification; elliptic inequation;
D O I
10.5565/PUBLMAT_46102_08
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the nonexistence result of radial solutions to -Deltau + c u/\x\(2) + \x\(sigma)\u\(q)u less than or equal to 0 posed in B or in B \ {0} where B is the unit ball centered at the origin in R-N, N greater than or equal to 3. Moreover, we give a complete classification of radial solutions to the problem -Deltau + c u/\x\(2) + \x\(sigma)\u\(q)u = 0. In particular we prove that the latter has exactly one family of radial solutions.
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页码:139 / 151
页数:13
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