3 papers
math.AP2024
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.AP2024
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 …
math.AP2024
On the study of -Laplace Choquard equations with critical Trudinger-Moser nonlinearity in
Deepak Kumar Mahanta, Tuhina Mukherjee, Abhishek Sarkar +1
This paper deals with the existence and multiplicity of nontrivial solutions for -Laplace equations with the Stein-Weiss reaction under critical exponential nonlinearity in…