Abhrojyoti Sen

activity

20232026

collaborators

8 papers

math.AP2026

Regularity for the fractional logarithmic $p$ -Laplacian

Nirjan Biswas, Stuti Das, Abhrojyoti Sen

We prove the Harnack inequality (with tails) and local Hölder regularity for the fractional logarithmic $p$ -Laplace operator, which is derived by differentiating the fractional $p$ …

math.AP2026

Higher integrability for parabolic double phase equations with an improved gap bound

Abhrojyoti Sen, Jarkko Siltakoski

We prove a local higher integrability result for the gradient of Hölder continuous weak solutions to the parabolic double phase equation \[ \partial_t u - \operatorname{div} \left(…

math.AP2026

$s$ -harmonic functions in the small order limit

Sven Jarohs, Abhrojyoti Sen, Tobias Weth

We study families $u_{s}$ of functions satisfying the equations $(- Δ)^{s} u_{s} = 0$ , $s \in (0, 1)$ in a smooth bounded open set $Ω \subset R^{N}$ . The main purpose of this paper is…

math.AP2025

Lipschitz regularity for parabolic double phase equations with gradient nonlinearity

Abhrojyoti Sen, Jarkko Siltakoski

We establish the local Lipschitz regularity in space for the viscosity solutions to the parabolic double phase equation of the form \[ \smash{\partial_{t}u-\operatorname{div} \left…

math.AP2025

Gradient higher integrability for degenerate parabolic double phase systems with two modulating coefficients

Jehan Oh, Abhrojyoti Sen

We establish an interior gradient higher integrability result for weak solutions to degenerate parabolic double phase systems involving two modulating coefficients. To be more prec…

math.AP2025

Parabolic Lipschitz truncation for multi-phase problems: the degenerate case

Bogi Kim, Jehan Oh, Abhrojyoti Sen

This article is devoted to exploring the Lipschitz truncation method for parabolic multi-phase problems. The method is based on Whitney decomposition and covering lemmas with a del…

math.AP2024

Gradient higher integrability for degenerate/ singular parabolic multi-phase problems

Abhrojyoti Sen

This article establishes an interior gradient higher integrability result for weak solutions to parabolic multi-phase problems. The prototype equation for the parabolic multi-phase…

math.AP2023

Existence of global entropy solution for Eulerian droplet models and two-phase flow model with non-constant air velocity

Abhrojyoti Sen, Anupam Sen

This article addresses the question concerning the existence of global entropy solution for generalized Eulerian droplet models with air velocity depending on both space and time v…

Regularity for the fractional logarithmic p-Laplacian

Higher integrability for parabolic double phase equations with an improved gap bound

s-harmonic functions in the small order limit

Lipschitz regularity for parabolic double phase equations with gradient nonlinearity

Gradient higher integrability for degenerate parabolic double phase systems with two modulating coefficients

Parabolic Lipschitz truncation for multi-phase problems: the degenerate case

Gradient higher integrability for degenerate/ singular parabolic multi-phase problems

Existence of global entropy solution for Eulerian droplet models and two-phase flow model with non-constant air velocity

Regularity for the fractional logarithmic $p$ -Laplacian

$s$ -harmonic functions in the small order limit