Shuntaro Tsubouchi

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.AP2025

Continuity of the spatial gradient of weak solutions to very singular parabolic equations involving the one-Laplacian

Shuntaro Tsubouchi

We consider weak solutions to very singular parabolic equations involving a one-Laplace-type operator, which is singular and degenerate, and a $p$ -Laplace-type operator with $\frac…

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…

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

Continuity of the spatial gradient of weak solutions to very singular parabolic equations involving the one-Laplacian

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

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

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