Green's functions for certain biharmonic boundary-value problems

2025

Closed access Metadata (CSL-JSON)
DOI 10.1080/17476933.2025.2572097
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

In this paper, we present an explicit form of Green's functions for two biharmonic boundary-value problems in the multidimensional ball. Specifically, we obtain exact representations of Green's functions for a non-standard Robin-type problem, where the boundary conditions depend on the dimension n, and a problem where u|∂B=0 and ∂u∂νx−12Δxu=0 on ∂B, which is distinct from classical settings.