The Meyers Estimates for Domains Perforated along the Boundary-Reference-Cited by-同舟云学术

The Meyers Estimates for Domains Perforated along the Boundary

Published:2021-11-24 Issue:23 Volume:9 Page:3015
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Chechkin Gregory A.^ORCID

Abstract

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 solution to the problem.

Funder

Russian Science Foundation

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/9/23/3015/pdf

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