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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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
Byun, Sun-Sig
Song, Kyeong
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Seoul Natl Univ, Dept Math Sci, Seoul 08826, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
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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
Byun, Sun -Sig
Kim, Kyeongbae
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Seoul Natl Univ, Dept Math Sci, Seoul 08826, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
Kim, Kyeongbae
Kumar, Deepak
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Seoul Natl Univ, Res Inst Math, Seoul 08826, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19,XinJieKouWai St, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19,XinJieKouWai St, Beijing 100875, Peoples R China
Su, Xifeng
Valdinoci, Enrico
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Univ Western Australia, Dept Math & Stat, 35 Stirling Highway, Crawley, WA 6009, AustraliaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19,XinJieKouWai St, Beijing 100875, Peoples R China
Valdinoci, Enrico
Wei, Yuanhong
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Jilin Univ, Coll Math, Changchun 130012, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19,XinJieKouWai St, Beijing 100875, Peoples R China
Wei, Yuanhong
Zhang, Jiwen
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Beijing Normal Univ, Sch Math Sci, 19,XinJieKouWai St, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19,XinJieKouWai St, Beijing 100875, Peoples R China
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 XinJieKouWai St, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 XinJieKouWai St, Beijing 100875, Peoples R China
Su, Xifeng
Valdinoci, Enrico
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Univ Western Australia, Dept Math & Stat, 35 Stirling Highway, Crawley, WA 6009, AustraliaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 XinJieKouWai St, Beijing 100875, Peoples R China
Valdinoci, Enrico
Wei, Yuanhong
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Jilin Univ, Sch Math, 2699 Qianjin St, Changchun 130012, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 XinJieKouWai St, Beijing 100875, Peoples R China
Wei, Yuanhong
Zhang, Jiwen
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Beijing Normal Univ, Sch Math Sci, 19 XinJieKouWai St, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, 19 XinJieKouWai St, Beijing 100875, Peoples R China