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Radial symmetry and partially overdetermined problems in a convex cone
- Lee, Jihye;
- Seo, Keomkyo
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3초록
We obtain the radial symmetry of the solution to a partially overdetermined boundary value problem in a convex cone in space forms by using the maximum principle for a suitable subharmonic function P and integral identities. In dimension 2, we prove Serrin-type results for partially overdetermined problems outside a convex cone. Furthermore, we obtain a Rellich identity for an eigenvalue problem with mixed boundary conditions in a cone.
키워드
convex cone; eigenvalue problem; overdetermined problem; P-function; BOUNDARY-VALUE-PROBLEMS; SPACE
- 제목
- Radial symmetry and partially overdetermined problems in a convex cone
- 저자
- Lee, Jihye; Seo, Keomkyo
- 발행일
- 2023-03-01
- 유형
- Article; Early Access
- 권
- 296
- 호
- 3
- 페이지
- 1204 ~ 1224