On weighted W2,p estimates for elliptic equations with BMO coefficients in nondivergence form-Reference-Cited by-同舟云学术

On weighted W2,p estimates for elliptic equations with BMO coefficients in nondivergence form

Published:2015-01 Issue:01 Volume:26 Page:1550001
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Byun Sun-Sig¹,Lee Mikyoung²

Affiliation:

1. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 151-747, South Korea

2. Department of Mathematical Sciences, Seoul National University, Seoul 151-747, South Korea

Abstract

We establish global weighted W2,p, 2 < p < ∞, estimates for the solution to the Dirichlet problem for an elliptic equation in nondivergence form with BMO coefficients in a C1,1 domain under the assumption that the matrix of the coefficients has a small BMO semi-norm while the associated weight belongs to a Muckenhoupt class. These conditions are weaker than those reported in the literature.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X15500019

Reference36 articles.

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