Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order

Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order
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半微分、二次形式和二阶完全非线性椭圆方程

DOI:
10.1016/s0294-1449(16)30309-2
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发表时间:
1989
影响因子:
1.9
通讯作者:
M. Crandall
M. Crandall
中科院分区:
数学1区
文献类型:
--
作者:
M. Crandall

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我们研究函数u(x)-v(y)− λ 2 <$x-y <$2到二阶,当u是usc,v是lsc,在达到最大值的点(x <$,y <$)附近。我们得到了P. - L. Lions和H.石井的结果,其中包含了二阶完全非线性椭圆型方程的比较结果。
We study the function u (x)–v (y)− λ 2‖ x–y‖ 2 to second order, when u is usc and v is lsc, near a point (x ˆ, y ˆ) where the maximum is attained. We obtain a sharpening of a result of P.-L. Lions and H. Ishii which implies comparison results for fully nonlinear elliptic equations of second order.
Ishii,H.:J.Geod.Soc.Japan,35,1989。
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