2 citations · 6 across the 20 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.AP2022★ 1 cited
A large class of nonlocal elliptic equations with singular nonlinearities
Rakesh Arora, Phuoc-Tai Nguyen, Vicentiu D. Radulescu
In this work, we address the questions of existence, uniqueness, and boundary behavior of the positive weak-dual solution of equation , posed in…
math.AP2022
Existence and global second-order regularity for anisotropic parabolic equations with variable growth
Rakesh Arora, Sergey Shmarev
We consider the homogeneous Dirichlet problem for the anisotropic parabolic equation \[ u_t-\sum_{i=1}^ND_{x_i}\left(|D_{x_i}u|^{p_i(x,t)-2}D_{x_i}u\right)=f(x,t) \] in the cylinde…