一类带有多项式源的椭圆型方程边界爆破解的存在性

Existence of Solution for a Class of Elliptic Boundary Blow-up Problem with Polynomial Term

针对一类带有多项式源的椭圆型方程边界爆破问题,本文利用上下解方法和比较原理,给出了存在唯一解的一个充分条件,并对解在边界附近的渐近行为进行了研究.

In this paper,for a class of boundary blow-up problem with the polynomial term,a sufficient condition for the existence and uniqueness of the solution was given by using the upper and lower solution method and the comparison principle,and the asymptotic behavior of the solution near the boundary was studied.