3 citations · 6 across the 9 of their papers we have counts for
10 papers
On a fractional system of NLS-KDV equations with Hardy potentials
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 nonlinear Schrödinger-Korteweg-De Vries (NLS-…
Multiple solutions for a weighted -Laplacian problem
Rohit Kumar, Abhishek Sarkar
We prove the existence of at least three solutions for a weighted -Laplacian operator involving Dirichlet boundary condition in a weighted Sobolev space. The main tool we use he…
On the fourth order semipositone problem in
Nirjan Biswas, Ujjal Das, Abhishek Sarkar
For and , we consider the following semipositone problem \begin{align*} Δ^2 u= g(x)f_a(u) \text { in } \mathbb{R}^N, \, \text{ and } \, u \in \mathcal{D}^{2,2}(\mat…
Cohomology of Lie algebroids over topological ringed spaces
Abhishek Sarkar
We consider Lie algebroids over a topological ringed space as quasicoherent sheaves of Lie-Rinehart algebras. We express hypercohomology for a locally free Lie algebroid (not neces…
On Lie algebroid over algebraic spaces
Ashis Mandal, Abhishek Sarkar
We consider Lie algebroids over algebraic spaces (in short we call it as -spaces) by considering the sheaf of Lie-Rinehart algebras. We discuss about properties of universal env…
On the eigenvalue problem involving the weighted -Laplacian in radially symmetric domains
Pavel Drábek, Ky Ho, Abhishek Sarkar
We investigate the following eigenvalue problem \begin{align*} \begin{cases} -\operatorname{div}\left( L(x) |\nabla u| ^{p-2}\nabla u\right)=λK(x)|u|^{p-2}u \quad \text{in } A_{R_1…