New existence and regularity results are given for non-linear elliptic problems with measure data. The gradient of the solution is itself in an optimal (fractional) Sobolev space: this can be considered an extension of Calderon-Zygmund theory to measure data problems.
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Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R ChinaBeijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
Liang, Yiyu
Luong Dang Ky
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Univ Quy Nhon, Dept Math, 170 An Duong Vuong, Quy Nhon, Binh Dinh, VietnamBeijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
Luong Dang Ky
Yang, Dachun
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China