Boundary value problems and integral operators for the bi-Laplacian in non-smooth domains
Irina Mitrea, Marius Mitrea · Rendiconti Lincei Matematica e Applicazioni · 2013
In this paper we explore the effectiveness of the classical method of layer potentials in the treatment of boundary value problems for the bi-Laplacian formulated in arbitrary Lipschitz domains, Lipschitz domains whose outward unit normal has small mean-oscillations, and domains of class \mathcal C^1 .