\(L^{p}\) gradient estimate for elliptic equations with high-contrast conductivities in \(\mathbb{R}^n\)

DOI10.1016/j.jde.2016.03.027zbMath1341.35022OpenAlexW2327996623MaRDI QIDQ281642

Li-Ming Yeh

Publication date: 11 May 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.03.027

zbMATH Keywords

embedding theoryduality argumenthigh-contrast conductivitypotentials

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Related Items (4)

Compactness and large-scale regularity for Darcy's law ⋮ Homogenization of boundary value problems in perforated Lipschitz domains ⋮ Hardy spaces and the Neumann problem in \(L^p\) for elliptic equation with periodic high-contrast coefficients in Lipschitz domains ⋮ Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients

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