Kato's inequalities for admissible functions to quasilinear elliptic operators <i>A </i>

• Xiaojing Liu

• Toshio Horiuchi

Bibliographic Information

Other Title

• Kato's inequalities for admissible functions to quasilinear elliptic operators A

Abstract

Let 1 < p < ∞ and let Ω be a bounded domain of R^N (N ≥ 1). In this paper, we consider a class of second order quasilinear elliptic operators A in Ω including the p-Laplace operator ∆_p. First we establish various type of Kato'’s inequalities for A when Au is a Radon measure. Then we prove the inverse maximum principle and describe the strong maximum principle. For this purpose it is crucial to introduce a notion of admissible class for the operator A and use it effectively.

Journal

• Mathematical Journal of Ibaraki University

  Mathematical Journal of Ibaraki University 51 49-64, 2019

  College of Science, Ibaraki University

Keywords

• Kato's inequality
• <i>p</i>-Laplace operator
• inverse maximum principle
• strong maximum principle

Details

• CRID: 1390009226732691968
• NII Article ID: 130007687047
• NII Article ID: 120006712623
• NII Book ID: AA11169155
• DOI: 10.34405/00018107
• DOI: 10.5036/mjiu.51.49
• ISSN: 18834353
• ISSN: 13433636
• HANDLE: 10109/14261
• Web Site: https://rose-ibadai.repo.nii.ac.jp/records/18113
• Web Site: https://www.jstage.jst.go.jp/article/mjiu/51/0/51_49/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed