论文标题
根据比较原理,二阶椭圆方程无第一和零订单项
On the comparison principle for second order elliptic equations without first and zeroth order terms
论文作者
论文摘要
我们考虑$ f(d^2 w,x)= 0 $的二阶椭圆方程的半连续粘度子和超溶液的比较原理。提出了操作员的结构条件,似乎可以统一不同的现有理论。获得了新的结果,并简化了经典结果的证明。
We consider the comparison principle for semicontinuous viscosity sub- and supersolutions of second order elliptic equations on the form $F(D^2 w,x) = 0$. A structural condition on the operator is presented that seems to unify the different existing theories. A new result is obtained and the proofs of the classical results are simplified.