A note on the equation -Δu+e^u-1=0

2011/03/04 by Лаурент Верон, Veron, Laurent
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1103.0975

openalex publication_date 2011/03/04 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

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 nonlinear capacities.

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