C. De Filippis, G. Mingione, “A borderline case of Calderón-Zygmund estimates for nonuniformly elliptic problems”, Алгебра и анализ, 2019, том 31, выпуск 3,страницы 82

Эта публикация цитируется в 61 статьях

Статьи

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

Аннотация: 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.

Ключевые слова: Calderón–Zygmund estimates, nonuniformly elliptic problems, Lavrent'ev phenomenon, Euler–Lagrange equations, $p$-Laplacian, homogenization.

MSC: Primary 35H10; Secondary 35J30

Поступила в редакцию: 26.09.2018

Язык публикации: английский