Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024707 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 9 Pages |
Abstract
We study a Neumann problem with the Hardy-Sobolev nonlinearity. In boundary singularity case, the impact of the mean curvature at singularity on existence of least-energy solution is well known. Existence and nonexistence of least-energy solution is studied by Hashizume (2017) except for lower dimension case. In this paper, we improve this previous work. More precisely, we study four dimensional case and show existence of minimizer in critical case in some sense.
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Authors
Masato Hashizume,