右端项为L^1时具退化强制椭圆方程弱解的存在性

Existence of Weak Solutions to a Degenerate Coercive Elliptic Equation with Right-Hand Side in L^1

利用方程零阶项系数与右端项的正则化效应,考虑一类具退化强制和低阶项的椭圆型方程.当方程的右端项f仅在L^1时,得到了其弱解的先验一致L∞估计,并证明了其弱解的存在性.

Using the regularizing effect between the coefficient of the zero order term and the righthand side term of the equation,the author considered a class of elliptic equations with degenerate coercivity and lower order terms.When the right-hand side termfof the equation was only in L^1,the author obtained a priori L∞ estimate of its weak solution and proved the existence of its weak solutions.