Some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary
Release Time:2019-03-09 Hits:
Indexed by: Journal Article
Date of Publication: 2014-09-01
Journal: SCIENCE CHINA-MATHEMATICS
Included Journals: SCIE
Volume: 57
Issue: 9
Page Number: 1891-1910
ISSN: 1674-7283
Key Words: very weak solutions; existence and uniqueness; regularity; nonlinear elliptic systems; distance to the boundary; integrable data
Abstract: In this paper, we study the very weak solutions to some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary. Firstly, we study the existence of the approximate solutions. Secondly, a priori estimates are given in the framework of weighted spaces. Finally, we prove the existence, uniqueness and regularity of the very weak solutions.