Partially and globally overdetermined problems of elliptic type

• Main Authors: Farina Alberto, Valdinoci Enrico
• Format: Article
• Language: English
• Published: De Gruyter 2012-02-01
• Series: Advances in Nonlinear Analysis
• Subjects: rigidity and symmetry results; classification of domains and solutions; overdetermined and inverse problems
• Online Access: https://doi.org/10.1515/ana-2011-0002
• ISSN: 2191-9496; 2191-950X

We review some classical and recent results on overdetermined problems both in bounded and unbounded domains, and we discuss how to recover, in some circumstances, a globally overdetermined problem from a partially overdetermined one.