Bulletin of the Australian Mathematical Society

Research Article

Some notes on the method of moving planes

E.N. Dancera1

a1 The Department of Mathematics, Statistics and Computing Science, The University of New England, Armidale NSW 2351, Australia

Abstract

In this paper, we obtain a version of the sliding plane method of Gidas, Ni and Nirenberg which applies to domains with no smoothness condition on the boundary. The method obtains results on the symmetry of positive solutions of boundary value problems for nonlinear elliptic equations. We also show how our techniques apply to some problems on half spaces.

(Received November 20 1991)