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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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