Abstract
The Finsler p-Laplacian is the class of nonlinear differential operators given by ΔH,pu≔div(H(∇u)p−1∇ηH(∇u))where p>1, H:Rn→[0,∞) is a convex function which is in C1(Rn∖{0}) and is positively homogeneous of degree 1. In this article we provide a comparison principle, weighted Poincare Inequality, Liouville Theorem and Hardy type inequality for the Finsler p-Laplacian.
Original language | English |
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Pages (from-to) | 1258-1264 |
Number of pages | 7 |
Journal | Indagationes Mathematicae |
Volume | 28 |
Issue number | 6 |
DOIs | |
State | Published - 1 Dec 2017 |
Externally published | Yes |
Keywords
- Comparison Principle
- Finsler p-Laplacian
- Hardy Inequality
- Picone Identity
ASJC Scopus subject areas
- General Mathematics