3 papers
math.AP2026
A Note on Sharpened Singular Adams-Type Inequalities
Deepak Kumar Mahanta, Tuhina Mukherjee, Abhishek Sarkar
We establish a sharp Adams-type inequality in higher-order function spaces with singular weights on . A sharp singular concentration-compactness principle, improving…
math.AP2026
The effect of boundary geometry in nonlocal critical problems with Hardy-Littlewood-Sobolev exponent
Hichem Chtioui, Tuhina Mukherjee, Lovelesh Sharma
In this paper we consider a mixed Dirichlet-Neumann boundary value problem. lem involving Choquard nonlinearity with upper critical exponent in the sense of Hardy- Littlewood Sobol…
math.AP2025
On singularly perturbed -Laplace Schrödinger equation with logarithmic nonlinearity
Deepak Kumar Mahanta, Tuhina Mukherjee, Patrick Winkert
This article focuses on the study of the existence, multiplicity and concentration behavior of ground states as well as the qualitative aspects of positive solutions for a …