Kato's inequalities up to the boundary for a quasilinear elliptic operator

Toshio Horiuchi; Peter Kumlin

paper

Kato's inequalities up to the boundary for a quasilinear elliptic operator

arXiv:1909.10694

Abstract

In a bounded smooth domain of Rn, we shall establish Kato's inequalities involving measures for p-Laplace operator up to the boundary under suitable assumptions. Keywords: Kato's inequality, $p$ -Laplace operator

14 pages. This research was partially supported by Grant-in-Aid for Scientific Research (No.16K05189) and (No.15H03621)