TY - JOUR
T1 - Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications
AU - Suragan, Durvudkhan
AU - Yessirkegenov, Nurgissa
N1 - Funding Information:
This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant no. AP09057887). The authors were supported by the Nazarbayev University Program 091019CRP2120. The second author was also supported by the FWO Odysseus 1 Grant G.0H94.18N: Analysis and Partial Differential Equations and the Ministry of Education and Science of the Republic of Kazakhstan (Grant no. AP09058474).
Publisher Copyright:
© 2021, Tusi Mathematical Research Group (TMRG).
PY - 2021/7
Y1 - 2021/7
N2 - 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.
AB - 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.
KW - Anisotropic p-sub-Laplacian
KW - Friedrichs inequality
KW - Hardy inequality
KW - p-sub-Laplacian
KW - Picone’s identity
KW - Principal eigenvalue
KW - Stratified group
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U2 - 10.1007/s43036-021-00150-5
DO - 10.1007/s43036-021-00150-5
M3 - Article
AN - SCOPUS:85107992415
SN - 2538-225X
VL - 6
JO - Advances in Operator Theory
JF - Advances in Operator Theory
IS - 3
M1 - 53
ER -