Yuan Zhou

activity

20092022

most citedAnisotropic Singular Integrals in Product Spaces

27 citations · 119 across the 31 of their papers we have counts for

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2 papers · 1 filter

math.AP2022★ 1 cited

Jacobian determinants for (nonlinear) gradient of planar $\infty$ -harmonic functions and applications

Hongjie Dong, Fa Peng, Yi Ru-Ya Zhang +1

In dimension 2, we introduce a distributional Jacobian determinant $det D V_{β} (D v)$ for the nonlinear complex gradient $(x_{1}, x_{2}) \mapsto ∣ D v ∣^{β} (v_{x_{1}}, - v_{x_{2}})$ for any $β > - 1$ , wh…

math.CA2022

A Rademacher type theorem for Hamiltonians $H (x, p)$ and application to absolute minimizers

Jiayin Liu, Yuan Zhou

We establish a Rademacher type theorem involving Hamiltonians $H (x, p)$ under very weak conditions in both of Euclidean and Carnot-Carathéodory spaces. In particular, $H (x, p)$ is ass…

Jacobian determinants for (nonlinear) gradient of planar ∞-harmonic functions and applications

A Rademacher type theorem for Hamiltonians H(x,p) and application to absolute minimizers

Jacobian determinants for (nonlinear) gradient of planar $\infty$ -harmonic functions and applications

A Rademacher type theorem for Hamiltonians $H (x, p)$ and application to absolute minimizers