Open AccessPicone’s identity for -Laplace operator and its applications
Author(s) -
Duong Trong Luyen
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i4.639
Subject(s) - mathematics , eigenvalues and eigenvectors , operator (biology) , identity (music) , monotonic function , p laplacian , degenerate energy levels , laplace transform , nonlinear system , laplace operator , pure mathematics , mathematical analysis , calculus (dental) , boundary value problem , physics , chemistry , medicine , biochemistry , dentistry , repressor , quantum mechanics , transcription factor , acoustics , gene
UDC 517.9We prove a nonlinear analogue of Picone's identity for -Laplace operator. As an application, we give a Hardy type inequality and Sturmian comparison principle.We also show the strict monotonicity of the principle eigenvalue and degenerate elliptic system.