3 papers
math.AP2022
A note on the global regularity results for strongly nonhomogeneous -fractional problems and applications
J. Giacomoni, D. Kumar, K. Sreenadh
In this article, we communicate with the glimpse of the proofs of global regularity results for weak solutions to a class of problems involving fractional -Laplacian, denote…
math.AP2021
Three solutions for a fractional elliptic problem with asymmetric critical Choquard nonlinearity
Sushmita Rawat, K. Sreenadh
In this paper we study the existence and multiplicity of weak solutions for the following asymmetric nonlinear Choquard problem on fractional Laplacian: \begin{equation*} \begin{ar…
math.AP2019
Adams-Moser-Trudinger inequality in the cartesian product of Sobolev spaces and its applications
Rakesh Arora, Jacques Giacomoni, Tuhina Mukherjee +1
The main aim of this article is to study non-singular version of Moser-Trudinger and Adams-Moser-Trudinger inequalities and the singular version of Moser-Trudinger equality in the…