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

Lee, Jihye; Seo, Keomkyo

doi:10.1016/j.na.2024.113603

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

Lee, Jihye;
Seo, Keomkyo

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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 problem; Warped product manifold; Serrin-type theorem; Neumann boundary condition; SYMMETRY; CURVATURE; SPACE

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

저자: Lee, Jihye; Seo, Keomkyo

DOI: 10.1016/j.na.2024.113603

발행일: 2024-10

유형: Article

저널명: Nonlinear Analysis, Theory, Methods and Applications

권: 247

언어: ENG

출판사: Pergamon Press Ltd.

발행국가: 영국

ISSN: E 1873-5215
P 0362-546X