Year: 2026
Type: article
Abstract: This article studies the stability of the $L_p$ torsional measure in dimension $n \geq 3$ . We show that the ball is the unique domain for the solution to the related overdetermined boundary value problem. Two concepts of relative asymmetry distance and $L^c$ -distance have been used to estimate the stability of the $L_p$ torsional measure, based on different stability results of the $L_p$ -width functionals. The result has been uniformly given via relative asymmetry distance for all $1 . In terms of $L^c$ -distance, the result has been split into two cases: $p\in (1,n)$ , and $n< p\neq n+2$ .
Source: Canadian Journal of Mathematics
Authors: Denghui Wu, Shengnan Yang, Qijiao Wang
Institution: Northwest A&F University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: China Scholarship Council
Award: G6714611787
OpenAlex ID: W7130405659
FWCI:
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