Ruzhansky, M

Suragan, D

Potential Analysis

Queen Mary Research Online

Green's Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinearp-sub-Laplacian Equations on Stratified Lie Groups

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

Ruzhansky, Michael

Suragan, Durvudkhan

Ghent University Academic Bibliography

Green's identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups

https://qmro.qmul.ac.uk/xmlui/bitstream/handle/123456789/57314/Ruzhansky%20Green%27s%20identities%2c%20comparison%202019%20Accepted.pdf?sequence=2&isAllowed=y

Green's Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinearp-sub-Laplacian Equations on Stratified Lie Groups

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Queen Mary Research Online

Ghent University Academic Bibliography