Prashanta Garain

activity

20212024

collaborators

Showing math.APShow all

5 papers · 1 filter

math.AP2024

Higher Hölder regularity for a subquadratic nonlocal parabolic equation

Prashanta Garain, Erik Lindgren, Alireza Tavakoli

In this paper, we are concerned with the Hölder regularity for solutions of the nonlocal evolutionary equation $\partial_{t} u + (- Δ_{p})^{s} u = 0.$ Here, $(- Δ_{p})^{s}$ is the fractional…

math.AP2023

On $(p, q)$ -eigenvalues of the weighted $p$ -Laplace operator in outward Hölder cuspidal domains

Prashanta Garain, Valerii Pchelintsev, Alexander Ukhlov

In this paper, we will study Neumann $(p, q)$ -eigenvalue problem for the weighted $p$ -Laplace operator in outward Hölder cuspidal domains. The suggested method is based on the compo…

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…

Higher Hölder regularity for a subquadratic nonlocal parabolic equation

On (p,q)-eigenvalues of the weighted p-Laplace operator in outward Hölder cuspidal domains

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 $(p, q)$ -eigenvalues of the weighted $p$ -Laplace operator in outward Hölder cuspidal domains

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