Green's identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups
- Author
- Michael Ruzhansky (UGent) and Durvudkhan Suragan
- Organization
- Project
- Abstract
- We propose analogues of Green's and Picone's identities for thep-sub-Laplacian on stratified Lie groups. In particular, these imply a generalised Diaz-Saa inequality. Using these we derive a comparison principle and uniqueness of positive solutions to nonlinear hypoelliptic equations on general stratified Lie groups extending to this setting previously known results on Euclidean and Heisenberg groups.
- Keywords
- p-sub-Laplacian, Green's identity, Picone's identity, Diaz-Saa inequality, Comparison principle, Stratified Lie group, HEISENBERG-GROUP, INEQUALITIES, THEOREM, SPACES
Downloads
-
(...).pdf
- full text (Published version)
- |
- UGent only
- |
- |
- 436.15 KB
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8640384
- MLA
- Ruzhansky, Michael, and Durvudkhan Suragan. “Green’s Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinear p-Sub-Laplacian Equations on Stratified Lie Groups.” POTENTIAL ANALYSIS, vol. 53, no. 2, 2020, pp. 645–58, doi:10.1007/s11118-019-09782-y.
- APA
- Ruzhansky, M., & Suragan, D. (2020). Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups. POTENTIAL ANALYSIS, 53(2), 645–658. https://doi.org/10.1007/s11118-019-09782-y
- Chicago author-date
- Ruzhansky, Michael, and Durvudkhan Suragan. 2020. “Green’s Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinear p-Sub-Laplacian Equations on Stratified Lie Groups.” POTENTIAL ANALYSIS 53 (2): 645–58. https://doi.org/10.1007/s11118-019-09782-y.
- Chicago author-date (all authors)
- Ruzhansky, Michael, and Durvudkhan Suragan. 2020. “Green’s Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinear p-Sub-Laplacian Equations on Stratified Lie Groups.” POTENTIAL ANALYSIS 53 (2): 645–658. doi:10.1007/s11118-019-09782-y.
- Vancouver
- 1.Ruzhansky M, Suragan D. Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups. POTENTIAL ANALYSIS. 2020;53(2):645–58.
- IEEE
- [1]M. Ruzhansky and D. Suragan, “Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups,” POTENTIAL ANALYSIS, vol. 53, no. 2, pp. 645–658, 2020.
@article{8640384,
abstract = {{We propose analogues of Green's and Picone's identities for thep-sub-Laplacian on stratified Lie groups. In particular, these imply a generalised Diaz-Saa inequality. Using these we derive a comparison principle and uniqueness of positive solutions to nonlinear hypoelliptic equations on general stratified Lie groups extending to this setting previously known results on Euclidean and Heisenberg groups.}},
author = {{Ruzhansky, Michael and Suragan, Durvudkhan}},
issn = {{0926-2601}},
journal = {{POTENTIAL ANALYSIS}},
keywords = {{p-sub-Laplacian,Green's identity,Picone's identity,Diaz-Saa inequality,Comparison principle,Stratified Lie group,HEISENBERG-GROUP,INEQUALITIES,THEOREM,SPACES}},
language = {{eng}},
number = {{2}},
pages = {{645--658}},
title = {{Green's identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups}},
url = {{http://doi.org/10.1007/s11118-019-09782-y}},
volume = {{53}},
year = {{2020}},
}
- Altmetric
- View in Altmetric
- Web of Science
- Times cited: