On the equation -Δu+e^u-1=0 with measures as boundary data

2011/03/15 by Veron, Laurent
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1103.3023

Abstract

If Ω is a bounded domain in \mathbb R^N, we study conditions on a Radon measure μ on ∂Ω for solving the equation -Δu+e^u-1=0 in Ω with u=μ on ∂Ω. The conditions are expressed in terms of Orlicz capacities.

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