A. Sen

activity

20182025

most citedFine boundary regularity for fully nonlinear mixed local-nonlocal problems

1 citations · 2 across the 8 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022

A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth

Abhrojyoti Sen

Let $Ω \subset R^{n}$ be any open set and $u$ be a weak supersolution of $L u = c (x) g (∣ u ∣) \frac{u}{∣ u ∣}$ where \[\mathcal{L}u(x)=\text{p.v.} \int_{\mathbb{R}^n} g\lef…

math.AP2022

Initial boundary value problem for 1D scalar balance laws with strictly convex flux

Manas R. Sahoo, Abhrojyoti Sen, Manish Singh

A Lax-Oleinik type explicit formula for 1D scalar balance laws has been recently obtained for the pure initial value problem by Adimurthi et al. in [1]. In this article, by introdu…

math.AP2022

Boundary regularity of mixed local-nonlocal operators and its application

Anup Biswas, Mitesh Modasiya, Abhrojyoti Sen

Let $Ω$ be a bounded $C^{2}$ domain in $R^{n}$ and $u \in C (R^{n})$ solves \begin{equation*} \begin{aligned} Δu + a Iu + C_0|Du| \geq -K\quad \text{in}\; Ω, \quad Δu + a…