Serrin’s type overdetermined problems in convex cones

Academic Article

Publication Date:

2020

Citation:

Serrin’s type overdetermined problems in convex cones / G. Ciraolo, A. Roncoroni. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 59:1(2020), pp. 28.1-28.21. [10.1007/s00526-019-1678-x]

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.

IRIS type:

01 - Articolo su periodico

Keywords:

35N25; 35B06; 53C24; 35R01

List of contributors: