Boundary Value Problems for Nonlinear Elliptic Equations of Second Order in High Dimensional Domains

• 作者: Dechang Chen Guochun Wen
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: blique DERIVATIVE Problems Nonlinear ELLIPTIC EQUATIONS High Dimensional DOMAINS
• 年，卷（期）: yysxyw_2013,（12）
• 页码范围: 1651-1657
• 页数: 7页
• 分类号: O1

摘要

This paper mainly concerns oblique derivative problems for nonlinear nondivergent elliptic equations of second order with measurable coefficients in a multiply connected domain. Under certain condition, we derive a priori estimates of solutions. By using these estimates and the fixed-point theorem, we prove the existence of solutions.