Shuntaro Tsubouchi

activity

20202025

collaborators

3 papers

math.AP2025

Gradient continuity for the parabolic $(1, p)$ -Laplace system

Shuntaro Tsubouchi

This paper deals with the parabolic $(1, p)$ -Laplace system, a parabolic system that involves the one-Laplace and $p$ -Laplace operators with $p \in (1, \infty)$ . We aim to prove th…

math.AP2024

Gradient continuity for the parabolic $(1, p)$ -Laplace equation under the subcritical case

Shuntaro Tsubouchi

This paper is concerned with the gradient continuity for the parabolic $(1, p)$ -Laplace equation. In the supercritical case $\frac{2 n}{n + 2} < p < \infty$ , where $n \geq 2$ denotes the s…

math.AP2020

Local Lipschitz bounds for solutions to certain singular elliptic equations involving one-Laplacian

Shuntaro Tsubouchi

In this paper local Lipschitz regularity of weak solutions to certain singular elliptic equations involving one-Laplacian is studied. Equations treated here also contains another w…

Gradient continuity for the parabolic (1,p)-Laplace system

Gradient continuity for the parabolic (1,p)-Laplace equation under the subcritical case

Local Lipschitz bounds for solutions to certain singular elliptic equations involving one-Laplacian

Gradient continuity for the parabolic $(1, p)$ -Laplace system

Gradient continuity for the parabolic $(1, p)$ -Laplace equation under the subcritical case