The Meyers Estimates for Domains Perforated along the Boundary

In this paper, we consider an elliptic problem in a domain perforated along the boundary. By setting a homogeneous Dirichlet condition on the boundary of the cavities and a homogeneous Neumann condition on the outer boundary of the domain, we prove higher integrability of the gradient of the solutio...

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Bibliographic Details
Main Author: Gregory A. Chechkin
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/23/3015