A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
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- by C. De Filippis and G. Mingione
- St. Petersburg Math. J. 31 (2020), 455-477
- DOI: https://doi.org/10.1090/spmj/1608
- Published electronically: April 30, 2020
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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.References
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Bibliographic Information
- C. De Filippis
- Affiliation: Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX26GG, Oxford, United Kingdom
- Email: Cristiana.DeFilippis@maths.ox.ac.uk
- G. Mingione
- Affiliation: Dipartimento SMFI, Università di Parma, Viale delle Scienze 53/a, Campus, 43124 Parma, Italy
- Email: giuseppe.mingione@unipr.it
- Received by editor(s): September 26, 2018
- Published electronically: April 30, 2020
- Additional Notes: This work was supported by the Engineering and Physical Sciences Research Council [EP/L015811/1]
- © Copyright 2020 American Mathematical Society
- Journal: St. Petersburg Math. J. 31 (2020), 455-477
- MSC (2010): Primary 35H10; Secondary 35J30
- DOI: https://doi.org/10.1090/spmj/1608
- MathSciNet review: 3985927
Dedicated: Dedicated to the memory of S. G. Mikhlin