Sho Shimoyama

activity

20232026

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math.AP2026

Mirror flows and $p$ -Laplacian eigenvalue problems on metric measure spaces

Sho Shimoyama

We study mirror flows as Banach-space counterparts of Hilbertian gradient flows and show that they play an essential role in $p$ -Laplacian eigenvalue problems on metric measure spa…

math.AP2024

Transformation of $p$ -gradient flows to $p^{'}$ -gradient flows in metric spaces

Sho Shimoyama

We explicitly construct parameter transformations between gradient flows in metric spaces, called curves of maximal slope, having different exponents when the associated function s…

Mirror flows and p-Laplacian eigenvalue problems on metric measure spaces

Transformation of p-gradient flows to p′-gradient flows in metric spaces

Mirror flows and $p$ -Laplacian eigenvalue problems on metric measure spaces

Transformation of $p$ -gradient flows to $p^{'}$ -gradient flows in metric spaces