1 citations · 1 across the 8 of their papers we have counts for
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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…
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…
Existence of normalized ground state solution to a mixed Schrödinger system in a plane
Ashutosh Dixit, Amin Esfahani, Hichem Hajaiej +1
In this paper, we establish the existence of positive ground state solutions for a class of mixed Schrödinger systems with concave-convex nonlinearities in , subject…
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…
On critically coupled (s_1, s_2)-fractional system of Schrödinger equations with Hardy potential
Rohit Kumar, Tuhina Mukherjee, Abhishek Sarkar
In this article, our main concern is to study the existence of bound and ground state solutions for the following fractional system of Schrödinger equations with Hardy potentials:…