On the Serrin problem for ring-shaped domains: the $n$-dimensional case
Virginia Agostiniani, Chiara Bernardini, Stefano Borghini, Lorenzo Mazzieri
TL;DR
This paper characterizes ring-shaped rotationally symmetric solutions to the Serrin problem across multiple dimensions, expanding understanding of this classical boundary value problem.
Contribution
It offers new characterizations of ring-shaped solutions to the Serrin problem in arbitrary dimensions, broadening the scope of existing results.
Findings
Characterizations of ring-shaped solutions
Applicability to arbitrary dimensions
Enhanced understanding of the Serrin problem
Abstract
We provide several characterizations of ring-shaped rotationally symmetric solutions to the Serrin problem in arbitrary dimensions.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations