Pinching-Estimate for Second Order Elliptic Equations
Received:August 31, 2005  Revised:July 02, 2006
Key Words: Elliptic equations   pinching-estimate   convexity.  
Fund Project:the National Natural Science Foundation of China (10671186).
Author NameAffiliation
XU Jin-ju Department of Mathatics, Qufu Normal University, Shandong 273165, China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.04.035
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