Notes on Overdetermined Singular Problems
Francesco Esposito, Berardino Sciunzi, Nicola Soave
TL;DR
This paper establishes rigidity results for overdetermined boundary value problems involving singular solutions within bounded domains, advancing understanding of their unique properties.
Contribution
It provides new rigidity theorems for overdetermined problems with singular solutions, extending classical results to more complex boundary conditions.
Findings
Rigidity results for singular overdetermined problems
Characterization of solutions in bounded domains
Extension of classical boundary value problem theories
Abstract
We obtain some rigidity results for overdetermined boundary value problems for singular solutions in bounded domains.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems · Contact Mechanics and Variational Inequalities