Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold
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초록

We obtain Serrin-type theorems of the solution to overdetermined problems in a warped product manifold with a nonconstant Neumann boundary condition by applying the maximum principle to suitable subharmonic functions and integral identities.

키워드

Overdetermined problemWarped product manifoldSerrin-type theoremNeumann boundary conditionSYMMETRYCURVATURESPACE
제목
Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold
저자
Lee, JihyeSeo, Keomkyo
DOI
10.1016/j.na.2024.113603
발행일
2024-10
유형
Article
저널명
Nonlinear Analysis, Theory, Methods and Applications
247