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Uniqueness and radial symmetry of least energy solution for a semilinear Neumann problem

✍ Scribed by Zheng-ping Wang; Huan-song Zhou


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
198 KB
Volume
24
Category
Article
ISSN
0168-9673

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✍ Xing-Bin Pan; Xingwang Xu πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 218 KB

The asymptotic behavior of the least energy solutions of a semilinear Neumann problem involving the critical Sobolev exponent on a bounded domain in R 4 is studied. Our main concern is the effect of the geometry of the boundary and the critical index, as contained in the boundary conditions, on the