Calderón-Zygmund estimates and non-uniformly elliptic operators
- Colombo, Maria
- Mingione, Giuseppe
Publication date
January 2016
DOI Publisher
Elsevier BV ISSN
0022-1236 Citation count (estimate)
55Abstract
We consider a class of non-uniformly nonlinear elliptic equations whose model is given by where p<q and a(x)â¥0, and establish the related nonlinear Caldeon-Zygmund theory. In particular, we provide sharp conditions under which the natural, and optimal, Calderon-Zygmund type result. holds for every γ ⥠1 These problems naturally emerge as Euler-Lagrange equations of some variational integrals introduced and studied by Marcellini [41] and Zhikov [53] in the framework of Homogenisation and Lavrentiev phenomenon
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