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Strict 2-convexity of convex solutions to the quadratic Hessian equation
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-03-25 , DOI: 10.1090/proc/15454 Connor Mooney
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-03-25 , DOI: 10.1090/proc/15454 Connor Mooney
Abstract:We prove that convex viscosity solutions to the quadratic Hessian inequality
are strictly
-convex. As a consequence we obtain short proofs of smoothness and interior 
estimates for convex viscosity solutions to 
, which were proven using different methods in recent works of Guan-Qiu, McGonagle-Song-Yuan, and Shankar-Yuan.
中文翻译：
二次Hessian方程凸解的严格2-凸性。
摘要：我们证明了二次Hessian不等式的凸粘性解
是严格凸的。结果，我们获得了的凸性粘度解的光滑度和内在估计的简短证明，这在关秋，麦戈纳格勒·宋·袁和尚卡尔·袁的最新著作中使用了不同的方法进行了证明。
更新日期：2021-04-22
 |
are strictly
-convex. As a consequence we obtain short proofs of smoothness and interior estimates for convex viscosity solutions to , which were proven using different methods in recent works of Guan-Qiu, McGonagle-Song-Yuan, and Shankar-Yuan. 中文翻译：
二次Hessian方程凸解的严格2-凸性。
摘要：我们证明了二次Hessian不等式的凸粘性解
|
是严格
凸的。结果，我们获得了的凸性粘度解的光滑度和内在估计的简短证明，这在关秋，麦戈纳格勒·宋·袁和尚卡尔·袁的最新著作中使用了不同的方法进行了证明。 
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