2 papers
math.AP2026
Positive solutions to semipositone problems on Heisenberg group
Vikram Naik, Rohit Kumar
This article focuses on establishing a positive weak solution to a class of semipositone problems over the Heisenberg group . In particular, we are interested in the…
math.AP2025
Brezis-Nirenberg type problem for fractional sub-Laplacian on the Heisenberg group
Vikram Yallapa Naik, Gaurav Dwivedi
In this paper, we show the existence of a weak solution for a fractional sub-Laplace equation involving a term with the critical Sobolev exponent, namely, \begin{align*} (-Î_\math…