Some nonlinear boundary value problems for nonlinear elliptic equations of second order in the plane
作者:
Wen Guo-chun,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1985)
卷期:
Volume 4,
issue 3
页码: 189-204
ISSN:0278-1077
年代: 1985
DOI:10.1080/17476938508814105
出版商: Gordon and Breach Science Publishers
关键词: 35J65
数据来源: Taylor
摘要:
In this paper, we discuss some nonlinear Poincare boundary value problems for nonlinear uniformly elliptic equations of second order in a multiply connected domain by using the methods of complex functions. At first we propose some modified boundary value problems for nonlinear elliptic systems of first order and give a priori estimates of solutions for the modified problems. Afterwards applying the above results, the continuity method and Schauder fixed-point theorem, we prove that the above nonlinear Poincaré problems with some conditions has a solution.
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