Scholarlink

<p>The main goal of this paper is to prove two generalisations of nonlinear Picone type identities for anisotropic subelliptic <i>p</i>-Laplacian and <i>p</i>-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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Nonlinear anisotropic Picone type identities for general vector fields and applications

  • 期刊论文

  • 发表日期：

    2025年10月21日

查看全文
  • Abimbola Abolarinwa

摘要

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.