Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications

Suragan D. Yessirkegenov N.
July 2021 Birkhauser

Advances in Operator Theory
2021 #6 Issue 3

In this paper, we establish generalised nonlinear Picone identities for p-sub-Laplacians, anisotropic p-sub-Laplacians and p-biharmonic operators on general stratified Lie groups. Moreover, we give applications to horizontal Hardy inequalities, Sturmian comparison principles as well as to weighted eigenvalue problems for p-sub-Laplacian and p-biharmonic operators.

Anisotropic p-sub-Laplacian , Friedrichs inequality , Hardy inequality , p-sub-Laplacian , Picone’s identity , Principal eigenvalue , Stratified group

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Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Department of Mathematics
Department of Mathematics: Analysis
Institute of Mathematics and Mathematical Modeling

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