Cauchy integrals for the p-Laplace equation in planar Lipschitz domains

2013/05/27 by Nyström, Kaj, Rosén, Andreas
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.6152

Abstract

We construct solutions to p-Laplace type equations in unbounded Lipschitz domains in the plane with prescribed boundary data in appropriate fractional Sobolev spaces. Our approach builds on a Cauchy integral representation formula for solutions.

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