Serrin’s type overdetermined problems in convex cones
Giulio Ciraolo, Alberto Roncoroni
2020Virtual Community of Pathological Anatomy (University of Castilla La Mancha)21 citationsDOIOpen Access PDF
Abstract
We consider overdetermined problems of Serrin’s type in convex cones for (possibly) degenerate operators in the Euclidean space as well as for a suitable generalization to space forms. We prove rigidity results by showing that the existence of a solution implies that the domain is a spherical sector.
Topics & Concepts
Overdetermined systemMathematicsRegular polygonType (biology)Euclidean spaceDegenerate energy levelsGeneralizationRigidity (electromagnetism)Pure mathematicsDomain (mathematical analysis)Mathematical analysisGeometryStructural engineeringQuantum mechanicsPhysicsEngineeringEcologyBiologyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems