Algebra i Analiz, 2019 Volume 31, Issue 3, Pages 82–115
(Mi aa1653)
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Research Papers A borderline case of Calderón-Zygmund estimates for nonuniformly elliptic problems C. De Filippis a ,
G. Mingione b 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 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.
MSC: Primary
35H10 ; Secondary
35J30 Received: 26.09.2018
Language: English
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