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Algebra i Analiz, 2019, Volume 31, Issue 3, Pages 82–115 (Mi aa1653)  
This article is cited in 74 scientific papers (total in 74 papers)

Research Papers

A borderline case of Calderón-Zygmund estimates for nonuniformly elliptic problems

C. De Filippisa, G. Mingioneb

a Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX26GG, Oxford, United Kingdom
b Dipartimento SMFI, Università di Parma, Viale delle Scienze 53/a, Campus, 43124 Parma, Italy
Full-text PDF (348 kB) Citations (74)
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Abstract: In a borderline case which was not covered before, nonlinear Calderón-Zygmund estimates are shown to be valid for a class of nonuniformly elliptic problems driven by double phase energies.
Keywords: Calderón–Zygmund estimates, nonuniformly elliptic problems, Lavrent'ev phenomenon, Euler–Lagrange equations, $p$-Laplacian, homogenization.
Funding agency Grant number
Engineering and Physical Sciences Research Council EP/L015811/1
This work was supported by the Engineering and Physical Sciences Research Council [EP/L015811/1]
Received: 26.09.2018
English version:
St. Petersburg Mathematical Journal, 2020, Volume 31, Issue 3, Pages 455–477
DOI: https://doi.org/10.1090/spmj/1608
Bibliographic databases:
Document Type: Article
MSC: Primary 35H10; Secondary 35J30
Language: English
Citation: C. De Filippis, G. Mingione, “A borderline case of Calderón-Zygmund estimates for nonuniformly elliptic problems”, Algebra i Analiz, 31:3 (2019), 82–115; St. Petersburg Math. J., 31:3 (2020), 455–477
Citation in format AMSBIB
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    • This publication is cited in the following 74 articles:
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