A WEAK COMPARISON PRINCIPLE FOR SOME QUASILINEAR ELLIPTIC OPERATORS: IT COMPARES FUNCTIONS BELONGING TO DIFFERENT SPACES

摘要

We shall prove a weak comparison principle for quasilinear elliptic operators -div(a(x,acu)) that includes the negative p-Laplace operator, where a: x a"e (N) - a"e (N) satisfies certain conditions frequently seen in the research of quasilinear elliptic operators. In our result, it is characteristic that functions which are compared belong to different spaces.