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Elliptic Obstacle Problems with Measurable Coefficients in Non-Smooth Domains |
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| Authors: | Sun-Sig Byun Seungjin Ryu |
| Institution: | 1. Department of Mathematics , Seoul National University , Seoul , Korea;2. Department of Mathematics , University of Seoul , Seoul , Korea |
| Abstract: | We establish a global weighted W 1, p -regularity for solutions to variational inequalities and obstacle problems for divergence form elliptic systems with measurable coefficients in bounded non-smooth domains. |
| Keywords: | Elliptic obstacle problem Global weighted L p -estimates Measurable coefficients Reifenberg flat domain Small BMO |