Global existence and uniqueness results for singular solutions of the capillarity equation

Marie-Françoise Bidaut-Véron

Vol. 125 (1986), No. 2, 317–333

DOI: 10.2140/pjm.1986.125.317

Abstract

We study the singular solutions of the capillarity equation

with a K < 0. We prove the global existence of a rotationally symmetric solution. We prove the uniqueness of a symmetric solution negative and concave near the origin.

Mathematical Subject Classification 2000

Primary: 35J60

Secondary: 58E15

Milestones

Received: 2 July 1985

Published: 1 December 1986