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20222026
most citedOn singularly perturbed -Laplace Schrödinger equation with logarithmic nonlinearity

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

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.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

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…

math.AP2024★ 1 cited

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…

math.AP2023

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…

math.AP2023

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…

math.AP2022

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:…