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- Title
Kato's inequalities for admissible functions to quasilinear elliptic operators A.
- Authors
XIAOJING LIU; TOSHIO HORIUCHI
- Abstract
Let 1 < p < 1 and let Ω be a bounded domain of RN (N ≥ 1). In this paper, we consider a class of second order quasilinear elliptic operators A in Ω including the p-Laplace operator Δp. 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.
- Subjects
ELLIPTIC operators; LAPLACIAN operator; MAXIMUM principles (Mathematics); RADON measures; MEASURE theory
- Publication
Mathematical Journal of Ibaraki University, 2019, Vol 51, p49
- ISSN
1343-3636
- Publication type
Article
- DOI
10.5036/mjiu.51.49