A Serrin-type problem with partial knowledge of the domain

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Abstract

We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain Ω⊂RN, when the equation is known on Ω∖ω¯ only, for some open subset ω⋐Ω. The problem has concrete motivations in optimal heating with malfunctioning, laminar flows and beams with small inhomogeneities.

Original languageEnglish
Article number112330
JournalNonlinear Analysis, Theory, Methods and Applications
Volume208
DOIs
Publication statusPublished - Jul 2021

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