闻国椿.二阶非线性椭圆型方程带位移的边值问题(英文)[J].数学研究及应用,1984,4(3):107~113
二阶非线性椭圆型方程带位移的边值问题(英文)
On Boundary Value Problems with the Shift for Nonlinear Elliptic Equations of Second Order
投稿时间:1982-04-20  
DOI:10.3770/j.issn:1000-341X.1984.03.022
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闻国椿 北京大学 
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英文摘要:
      In this paper, we consider the boundary value problem with the shift for nonlinear uniformly elliptic equations of second order in a multiply connected domain. For this sake, we propose a modified boundary value problem for nonlinear elliptic systems of first order equations, and give a priori estimates of solutions for the modified boundary value problem. Afterwards we prove by using the Schauder fixedpoint theorem that this boundary value problem with some conditions has a solution. The result obtained is the generlization of the corresponding theorem on the Poincare boundary value problem.
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