A. Sarkar

activity

20152023

most citedOn the Generalized Hardy-Rellich Inequalities

3 citations · 6 across the 9 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

2 papers · 2 filters

math.AP2022

Multiple solutions for a weighted $p$ -Laplacian problem

Rohit Kumar, Abhishek Sarkar

We prove the existence of at least three solutions for a weighted $p$ -Laplacian operator involving Dirichlet boundary condition in a weighted Sobolev space. The main tool we use he…

math.AP2022★ 1 cited

On the fourth order semipositone problem in $R^{N}$

Nirjan Biswas, Ujjal Das, Abhishek Sarkar

For $N \geq 5$ and $a > 0$ , 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…

Multiple solutions for a weighted p-Laplacian problem

On the fourth order semipositone problem in RN

Multiple solutions for a weighted $p$ -Laplacian problem

On the fourth order semipositone problem in $R^{N}$