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Indexed by:期刊论文

Date of Publication:2014-09-01

Journal:SCIENCE CHINA-MATHEMATICS

Included Journals:SCIE

Volume:57

Issue:9

Page Number:1891-1910

ISSN No.: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.