A nonexistence result for the n-Laplacian

Tilak Bhattacharya

Vol. 160 (1993), No. 1, 19–26

DOI: 10.2140/pjm.1993.160.19

Abstract

Let P be a point in ℝⁿ, n ≥ 2; then the problem div(|∇u|ⁿ⁻²∇u) = e^u with u ∈ W_loc^1,n ∩L_loc^∞ has no subsolutions in ℝⁿ ∖{P}.

Mathematical Subject Classification 2000

Primary: 35J60

Secondary: 35J70

Milestones

Received: 22 January 1990

Published: 1 September 1993