A Weak Comparison Principle for Some Quasilinear Elliptic Operators: It Compares Functions Belonging to Different Spaces

作者：Unai Akihito^*

来源：Applications of Mathematics, 2018, 63(4): 483-498.

DOI：10.21136/AM.2018.0126-18

• weak comparison principle
• quasilinear elliptic operator
• p-Laplace operator

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.

• 出版日期2018-8