Abstract
We shall prove a weak comparison principle for quasilinear elliptic operators −div(a(x,∇u)) that includes the negative p-Laplace operator, where a: × ℝN → ℝN 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.
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Unai, A. A Weak Comparison Principle for Some Quasilinear Elliptic Operators: It Compares Functions Belonging to Different Spaces. Appl Math 63, 483–498 (2018). https://doi.org/10.21136/AM.2018.0126-18
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DOI: https://doi.org/10.21136/AM.2018.0126-18