Mixed local and nonlocal equations with measure data

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作者
Sun-Sig Byun
Kyeong Song
机构
[1] Seoul National University,Department of Mathematical Sciences and Research Institute of Mathematics
[2] Seoul National University,Department of Mathematical Sciences
关键词
31C45; 35A01; 35B65; 35R06;
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学科分类号
摘要
We study nonlinear measure data problems involving elliptic operators modeled after the mixed local and nonlocal p-Laplacian. We establish existence, regularity and Wolff potential estimates for solutions. As a consequence, we are able to obtain Calderón-Zygmund type estimates and continuity criteria for solutions.
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