Nonlinear anisotropic Picone type identities for general vector fields and applications
Year: 2025
Type: article
Abstract: The main goal of this paper is to prove two generalisations of nonlinear Picone type identities for anisotropic subelliptic p-Laplacian and p-biLaplacian in the context of the general vector fields. Furthermore, we present several applications which range from Hardy type and Rellich type inequalities to Liouville type and Sturmian type comparison principles, to first eigenvalue monotonicity and Morse index of positive solutions.
Author: Abimbola Abolarinwa
Institution: University of Lagos
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,390
OpenAlex ID: W4415404393