Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 263, Issue 2, Pages 1643-1693Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2017.03.025
Keywords
BMO coefficient; Calderon-Zygmund estimate; Double phase problem; Non-uniformly elliptic equation; Reifenberg flat domain
Categories
Funding
- National Research Foundation of Korea (NRF) grant - Korea Government [NRF-2015R1A2A1A15053024, NRF-2015R1A4A1041675]
- National Research Foundation of Korea [2012H1A2A1013940, 2015R1A2A1A15053024, 2015R1A4A1041675] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
Ask authors/readers for more resources
We consider a double phase problem with BMO coefficient in divergence form on a bounded nonsmooth domain. The problem under consideration is characterized by the fact that both ellipticity and growth switch between a type of polynomial and a type of logarithm according to the position, which describes a feature of strongly anisotropic materials. We obtain the global Calderon-Zygmund type estimates for the distributional solution in the case that the associated nonlinearity has a small BMO and the boundary of the domain is sufficiently flat in the Reifenberg sense. (C) 2017 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available