Monotonicity and symmetry results for degenerate elliptic equations on nilpotent Lie groups

I. Birindelli and J. Prajapat

Vol. 204 (2002), No. 1, 1–17

DOI: 10.2140/pjm.2002.204.1

Abstract

In this paper we prove some monotonicity results for solutions of semilinear equations in nilpotent, stratified groups. We also prove a partial symmetry result for solutions of nonlinear equations on the Heisenberg group.

Milestones

Received: 31 January 2000

Revised: 6 July 2001

Published: 1 May 2002