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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Ho Chi Minh City Univ Educ, Grp Anal & Appl Math, Dept Math, Ho Chi Minh City, VietnamTon Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, Ho Chi Minh City, Vietnam
Nguyen, Thanh-Nhan
Huynh, Phuoc-Nguyen
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Nguyen High Sch, Ho Chi Minh City, VietnamTon Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, Ho Chi Minh City, Vietnam
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Seoul Natl Univ, Dept Math Sci, Seoul 08826, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
Baasandorj, Sumiya
Byun, Sun-Sig
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Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
Seoul Natl Univ, Res Inst Math, Seoul 08826, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
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Univ Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, EnglandUniv Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England
De Filippis, C.
Mingione, G.
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Univ Parma, Dipartimento SMFI, Viale Sci 53-A, Parma 43124, ItalyUniv Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England