A Serrin-type problem with partial knowledge of the domain

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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
Publication statusPublished - Jul 2021


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