Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems

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dc.creatorFragalà, Ilaria
dc.creatorGazzola, Filippo
dc.creatorLamboley, Jimmy
dc.creatorPierre, Michel
dc.date2009-02-17
dc.date.accessioned2026-07-07T12:42:55Z
dc.date.available2026-07-07T12:42:55Z
dc.descriptionWe exhibit several counterexamples showing that the famous Serrin's symmetry result for semilinear elliptic overdetermined problems may not hold for partially overdetermined problems, that is when both Dirichlet and Neumann boundary conditions are prescribed only on part of the boundary. Our counterexamples enlighten subsequent positive symmetry results obtained by the first two authors for such partially overdetermined systems and justify their assumptions as well.
dc.identifierhttps://arxiv.org/abs/0902.2947
dc.identifierhttp://arxiv.org/abs/0902.2947
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220248
dc.subjectOptimization and Control
dc.subjectAnalysis of PDEs
dc.subject35J70, 35B50, 49Q10
dc.titleCounterexamples to Symmetry for Partially Overdetermined Elliptic Problems
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