Dwivedi, GauravGauravDwivediTyagi, JagmohanJagmohanTyagi2025-08-302025-08-302017-02-0110.1016/j.jmaa.2016.08.0482-s2.0-84994247385https://d8.irins.org/handle/IITG2025/21783In this article, we establish several applications of Picone's identity for the operator of the form−div(a(x,u,∇u)), such as Hardy type inequality, Sturmian comparison theorem, monotonicity property of the first eigenvalue, nonexistence of positive supersolutions and Caccioppoli inequality under certain conditions on a.trueHardy inequality | Monotonicity of the first eigenvalue | Picone's identity | Sturmian comparison theoremSome qualitative questions on the equation −div(a(x,u,∇u))=f(x, u)Article10960813456-4691 February 20175arJournal2WOS:000386982000027