A note on the moving sphere method

Yūki Naito and Takashi Suzuki

Vol. 189 (1999), No. 1, 107–115

DOI: 10.2140/pjm.1999.189.107

Abstract

We treat the Dirichlet problem for elliptic equations on annular regions, and show the monotonicity and symmetry properties of positive solutions with respect to the sphere. We generalize the argument of the method of moving spheres to more general partial differential equations.

Milestones

Received: 27 August 1997

Revised: 27 May 1998

Published: 1 May 1999