Prashanta Garain

collaborators

3 papers

math.AP2023

On the regularity theory for mixed anisotropic and nonlocal $p$ -Laplace equations and its applications to singular problems

Prashanta Garain, Wontae Kim, Juha Kinnunen

We establish existence results for a class of mixed anisotropic and nonlocal $p$ -Laplace equation with singular nonlinearities. We consider both constant and variable singular expo…

math.AP2023

Mixed local and nonlocal Dirichlet $(p, q)$ -eigenvalue problem

Prashanta Garain, Alexander Ukhlov

In this article, we consider the spectral problem for the mixed local and nonlocal $p$ -Laplace operator. We discuss the existence and regularity of eigenfunction of the associated…

math.AP2021

On a class of weighted anisotropic $p$ -Laplace equation with singular nonlinearity

Prashanta Garain

We consider a class of singular weighted anisotropic $p$ -Laplace equations. We provide sufficient condition on the weight function that may vanish or blow up near the origin to ens…

On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems

Mixed local and nonlocal Dirichlet (p,q)-eigenvalue problem

On a class of weighted anisotropic p-Laplace equation with singular nonlinearity

On the regularity theory for mixed anisotropic and nonlocal $p$ -Laplace equations and its applications to singular problems

Mixed local and nonlocal Dirichlet $(p, q)$ -eigenvalue problem

On a class of weighted anisotropic $p$ -Laplace equation with singular nonlinearity