An Overdetermined Problem for an Elliptic Equation

  • Robert Dalmasso

    Equipe EDP, Grenoble, France

Abstract

We consider the following overdetermined boundary value problem: in , on and on , where , and are real constants and is a smooth bounded convex open set. We first show that it may happen that the problem has no solution. Then we study the existence of solutions for a wide class of domains.

Cite this article

Robert Dalmasso, An Overdetermined Problem for an Elliptic Equation. Publ. Res. Inst. Math. Sci. 46 (2010), no. 3, pp. 591–606

DOI 10.2977/PRIMS/19