A generalized nonlinear Picone identity for the p-biharmonic operator and its applications

Abstract

A generalized nonlinear Picone identity for the p-biharmonic operator is established in this paper. As applications, a Sturmian comparison principle to the p-biharmonic equation with singular term, a Liouville's theorem to the p-biharmonic system, and a generalized Hardy-Rellich type inequality are obtained. MSC: Primary 26D10; secondary 26D15

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