D. Suragan

activity

20132026

most citedCaffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups

23 citations · 48 across the 26 of their papers we have counts for

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Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017

Weighted $L^{p}$ -Hardy and $L^{p}$ -Rellich inequalities with boundary terms on stratified Lie groups

Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan

In this paper, generalised weighted $L^{p}$ -Hardy, $L^{p}$ -Caffarelli-Kohn-Nirenberg, and $L^{p}$ -Rellich inequalities with boundary terms are obtained on stratified Lie groups. As conse…

math.AP2017

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

Michael Ruzhansky, Durvudkhan Suragan

We propose analogues of Green's and Picone's identities for the $p$ -sub-Laplacian on stratified Lie groups. In particular, these imply a generalised Díaz-Saá inequality for the $p$ …

Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups

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

Weighted $L^{p}$ -Hardy and $L^{p}$ -Rellich inequalities with boundary terms on stratified Lie groups

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