Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications
- Author
- Durvudkhan Suragan and Nurgissa Yessirkegenov (UGent)
- Organization
- Abstract
- 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.
- Keywords
- KOHN-LAPLACIAN, DIRICHLET PROBLEM, HARDY, INEQUALITIES, PRINCIPLE, EQUATION, RELLICH, Picone's identity, p-sub-Laplacian, Anisotropic p-sub-Laplacian, Hardy inequality, Friedrichs inequality, Stratified group, Principal eigenvalue
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01HEWK30TZX09Q6EAARNJS7QB4
- MLA
- Suragan, Durvudkhan, and Nurgissa Yessirkegenov. “Generalised Nonlinear Picone Identities for P-Sub-Laplacians and p-Biharmonic Operators and Applications.” ADVANCES IN OPERATOR THEORY, vol. 6, no. 3, 2021, doi:10.1007/s43036-021-00150-5.
- APA
- Suragan, D., & Yessirkegenov, N. (2021). Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications. ADVANCES IN OPERATOR THEORY, 6(3). https://doi.org/10.1007/s43036-021-00150-5
- Chicago author-date
- Suragan, Durvudkhan, and Nurgissa Yessirkegenov. 2021. “Generalised Nonlinear Picone Identities for P-Sub-Laplacians and p-Biharmonic Operators and Applications.” ADVANCES IN OPERATOR THEORY 6 (3). https://doi.org/10.1007/s43036-021-00150-5.
- Chicago author-date (all authors)
- Suragan, Durvudkhan, and Nurgissa Yessirkegenov. 2021. “Generalised Nonlinear Picone Identities for P-Sub-Laplacians and p-Biharmonic Operators and Applications.” ADVANCES IN OPERATOR THEORY 6 (3). doi:10.1007/s43036-021-00150-5.
- Vancouver
- 1.Suragan D, Yessirkegenov N. Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications. ADVANCES IN OPERATOR THEORY. 2021;6(3).
- IEEE
- [1]D. Suragan and N. Yessirkegenov, “Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications,” ADVANCES IN OPERATOR THEORY, vol. 6, no. 3, 2021.
@article{01HEWK30TZX09Q6EAARNJS7QB4,
abstract = {{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.}},
articleno = {{53}},
author = {{Suragan, Durvudkhan and Yessirkegenov, Nurgissa}},
issn = {{2662-2009}},
journal = {{ADVANCES IN OPERATOR THEORY}},
keywords = {{KOHN-LAPLACIAN,DIRICHLET PROBLEM,HARDY,INEQUALITIES,PRINCIPLE,EQUATION,RELLICH,Picone's identity,p-sub-Laplacian,Anisotropic p-sub-Laplacian,Hardy inequality,Friedrichs inequality,Stratified group,Principal eigenvalue}},
language = {{eng}},
number = {{3}},
pages = {{17}},
title = {{Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications}},
url = {{http://doi.org/10.1007/s43036-021-00150-5}},
volume = {{6}},
year = {{2021}},
}
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