Journal
MATHEMATICS
Volume 9, Issue 23, Pages -Publisher
MDPI
DOI: 10.3390/math9233015
Keywords
higher integrability; Meyers estimates; perforated domain; small parameter
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This paper considers an elliptic problem in a domain perforated along the boundary. By imposing certain boundary conditions, the higher integrability of the gradient of the solution is proven.
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.
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