University of Kentucky

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20022011

most citedNovel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4

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math.AP2009

Layer Potential Methods for Elliptic Homogenization Problems

Carlos Kenig, Zhongwei Shen

In this paper we use the method of layer potentials to study $L^{2}$ boundary value problems in a bounded Lipschitz domain $Ω$ for a family of second order elliptic systems with rapi…

math.AP2009★ 1 cited

Homogenization of Elliptic Boundary Value Problems in Lipschitz Domains

Carlos E. Kenig, Zhongwei Shen

In this paper we study the $L^{p}$ boundary value problems for $L (u) = 0$ in $R_{+}^{d + 1}$ , where $L = - div (A \nabla)$ is a second order elliptic operato…

math.AP2009

A Bilinear Estimate for Biharmonic Functions in Lipschitz Domains

Joel Kilty, Zhongwei Shen

We show that a bilinear estimate for biharmonic functions in a Lipschitz domain $Ω$ is equivalent to the solvability of the Dirichlet problem for the biharmonic equationin $Ω$ . As a…

math.AP2009★ 2 cited

The $L^{p}$ Regularity Problem on Lipschitz Domains

Joel Kilty, Zhongwei Shen

This paper contains two results on the $L^{p}$ regularity problem on Lipschitz domains. For second order elliptic systems and $1 < p < \infty$ , we prove that the solvability of the $L^{p}$ …

Layer Potential Methods for Elliptic Homogenization Problems

Homogenization of Elliptic Boundary Value Problems in Lipschitz Domains

A Bilinear Estimate for Biharmonic Functions in Lipschitz Domains

The Lp Regularity Problem on Lipschitz Domains

The $L^{p}$ Regularity Problem on Lipschitz Domains