From the 1 of 7 linked papers with an AI index.
7 papers
Regularity for the fractional logarithmic -Laplacian
Nirjan Biswas, Stuti Das, Abhrojyoti Sen
The paper establishes a Harnack inequality with tail terms and local Hölder continuity for the fractional logarithmic p‑Laplacian, a nonlocal operator obtained by differentiating t…
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…
-harmonic functions in the small order limit
Sven Jarohs, Abhrojyoti Sen, Tobias Weth
We study families of functions satisfying the equations , in a smooth bounded open set . The main purpose of this paper i…
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…
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…
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…