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TITLE Optimal Regularity for Nonlinear Elliptic Equations with Righthand Side Measure in Variable Exponent Spaces
KIAS AUTHORS Park, Jung-Tae
JOURNAL INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2018
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ABSTRACT We study a nonlinear elliptic equation with measurable nonlinearity in a nonsmooth domain when the righthand side is a measure. A global Calderon-Zygmund type estimate in variable exponent spaces is established under an optimal regularity assumption on the nonlinearity and the Reifenberg flatness of the boundary.
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