2 citations · 2 across the 3 of their papers we have counts for
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Critical Equations Involving Nonlocal Subelliptic Operators on Stratified Lie Groups: Spectrum, Bifurcation and Multiplicity
Sekhar Ghosh, Vishvesh Kumar
In this paper, we explore the bifurcation phenomena and establish the existence of multiple solutions for the nonlocal subelliptic Brezis-Nirenberg problem: \begin{equation*} \begi…
Existence results for mixed local and nonlocal elliptic equations involving singularity and nonregular data
Souvik Bhowmick, Sekhar Ghosh
In this paper, we prove the existence of weak, veryweak and duality solutions to a class of elliptic problems involving singularity and measure data which is given by: $-Δu+(-Δ)^s…
A weighted eigenvalue problem for mixed local and nonlocal operators with potential
R. Lakshmi, Ratan Kr. Giri, Sekhar Ghosh
We study an {\it indefinite weighted eigenvalue problem} for an operator of {\it mixed-type} (that includes both the classical {\it -Laplacian} and the {\it fractional -Lapla…
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups
Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky
In this paper, we establish the sharp fractional subelliptic Sobolev inequalities and Gagliardo-Nirenberg inequalities on stratified Lie groups. The best constants are given in ter…