Uniqueness for Neumann problems for nonlinear elliptic equations

2017/12/08 by Betta, Maria Francesca, Guibé, Olivier, Mercaldo, Anna
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.03013

Abstract

In the present paper we prove uniqueness results for solutions to a class of Neumann boundary value problems whose prototype is --div((1 + |∇u| 2) (p--2)/2 ∇u) -- div(c(x)|u| p--2 u) = f in Ω, (1 + |∇u| 2) (p--2)/2 ∇u + c(x)|u| p--2 u × n = 0 on ∂Ω,

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