Overdetermined problems in annular domains with a spherical-boundary component in space forms.

Authors :: Lee, Jihye
Seo, Keomkyo
Source :: Journal of Inequalities & Applications. 3/24/2023, Vol. 2023 Issue 1, p1-22. 22p.
Publication Year :: 2023
Abstract: We obtain a Serrin-type symmetry of the solutions to various overdetermined boundary value problems in annular domains with a spherical-boundary component in space forms by using the maximum principle for suitable subharmonic functions and integral identities. [ABSTRACT FROM AUTHOR]

Subjects :: *SUBHARMONIC functions
*MAXIMUM principles (Mathematics)
*BOUNDARY value problems
*INTEGRAL functions

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