Abhishek Sarkar

activity

20152023

collaborators

2 papers

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.AP2015

Isolated Singularities of Polyharmonic Operator in Even Dimension

Dhanya Rajendran, Abhishek Sarkar

We consider the equation $Δ^{2} u = g (x, u) \geq 0$ in the sense of distribution in $Ω^{'} = Ω ∖ {0}$ where $u$ and $- Δ u \geq 0.$ Then it is known that $u$ solves $Δ^2 u=g(x,u)+αδ_…

Multiple solutions for a weighted p-Laplacian problem

Isolated Singularities of Polyharmonic Operator in Even Dimension

Multiple solutions for a weighted $p$ -Laplacian problem