5 papers · 1 filter
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…
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 …
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…
Degenerate Schr{ö}dinger-Kirchhoff -Laplacian problem With singular Trudinger-Moser nonlinearity in
Deepak Kumar Mahanta, Tuhina Mukherjee, Abhishek Sarkar
In this paper, we deal with the existence of nontrivial nonnegative solutions for a -Laplacian Schr{ö}dinger-Kirchhoff problem in with singular exponential n…
On the extreme value of Nehari manifold for nonlocal singular Schr{ö}dinger-Kirchhoff equations in
Deepak Kumar Mahanta, Tuhina Mukherjee, Abhishek Sarkar
This article investigates the existence, non-existence, and multiplicity of weak solutions for a parameter-dependent nonlocal Schrödinger-Kirchhoff type problem on in…