Some qualitative properties of Finsler p-Laplacian

Kaushik Bal, Prashanta Garain, Indubaran Mandal

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The Finsler p-Laplacian is the class of nonlinear differential operators given by ΔH,pu≔div(H(∇u)p−1ηH(∇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 languageEnglish
Pages (from-to)1258-1264
Number of pages7
JournalIndagationes Mathematicae
Volume28
Issue number6
DOIs
StatePublished - 1 Dec 2017
Externally publishedYes

Keywords

  • Comparison Principle
  • Finsler p-Laplacian
  • Hardy Inequality
  • Picone Identity

ASJC Scopus subject areas

  • General Mathematics

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