Kato`s Inequalities for Degenerate Quasilinear Elliptic Operators

• Journal title : Kyungpook mathematical journal
• Volume 48, Issue 1,  2008, pp.15-24
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2008.48.1.015
Title & Authors
Kato`s Inequalities for Degenerate Quasilinear Elliptic Operators
Horiuchi, Toshio;

Abstract
Let $\small{N{\geq}1}$ and p > 1. Let $\small{{\Omega}}$ be a domain of $\small{\mathbb{R}^N}$. In this article we shall establish Kato`s inequalities for quasilinear degenerate elliptic operators of the form $\small{A_pu}$
Keywords
Kato`s inequality;p-harmonic operators;
Language
English
Cited by
References
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J. Garcia-Cuerva and J. L. Rubio de Francia, Weighted norm inequalities and related Topics, North-Holland Mthematics Studies, 116(1985).

2.
T. Horiuchi, Some remarks on Kato's inequality, J. of Inequalities and applications., 6(2001), 29-36.

3.
T. Kato, Schrodinger operators with singular potentials, Israel J. Math., 1 (1972), 135-148.