Nonlinear Picone identities to Pseudo p-Laplace operator and applications

Author(s):

T. Feng , M. Yu *

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we derive a nonlinear Picone identity to the pseudo p-Laplace operator, which contains some known Picone identities and removes a condition used in many previous papers. Some applications are given including a Liouville type theorem to the singular pseudo p-Laplace system, a Sturmian comparison principle to the pseudo p-Laplace equation, a new Hardy type inequality with weight and remainder term, a nonnegative estimate of the functional associated to pseudo p-Laplace equation.
Keywords:

Nonlinear Picone identity? , ?pseudo p , Laplace equation? , ?pseudo p , Laplace system?

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:43 Issue: 7, 2017
Pages:
2517 to 2530
https://www.magiran.com/p1850936