二阶椭圆偏微分方程的Pinching-估计

Pinching-Estimate for Second Order Elliptic Equations

中文关键词:  椭圆方程  pinching-估计  凸性.

英文关键词:Elliptic equations  pinching-estimate  convexity.

中文摘要:

      Pinching-估计是研究解的凸性的一种重要方法, 主要给出了半线性二阶椭圆偏微分方程的Pinching-估计,并将其推广到一类完全非线性二阶椭圆偏微分方程.

英文摘要:

      Pinching-estimate is an important method for studying the convexity of the solutions. It is known that the Pinching-estimate is important in Geometry, and we apply it into partial differiatial equations. In this paper, we mainly give the Pinching-estimates for some semilinear second order elliptic equations and fully nonlinear elliptic equations.