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Invariant elliptic estimates
Authors:Yonggeun Cho  Tohru Ozawa
Institution:a Department of Mathematics, and Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju 561-756, Republic of Korea
b Department of Applied Physics, Waseda University, Tokyo 169-8555, Japan
c Department of Mathematics, POSTECH, Pohang 790-784, Republic of Korea
Abstract:In this paper, we revisit elliptic estimates invariant under domain expansion. We improve the invariant elliptic estimates in the previous paper Y. Cho, T. Ozawa, Y. Shim, Calc. Var. PDE 34 (2009) 321-339] via gradient estimate and discuss an application to the Lamé system.
Keywords:Invariant elliptic estimates  Domain expansion  Lamé  system  Gradient estimate
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