Peng Fa

most citedA quantative Sobolev regularity for absolute minimizers involving Hamiltonian

H (p) \in C^{0} (R^{2})

in plane

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2019

Second order regularity for elliptic and parabolic equations involving $p$ -Laplacian via a fundamental inequality

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

Denote by $Δ$ the Laplacian and by $Δ_{\infty}$ the $\infty$ -Laplacian. A fundamental inequality is proved for the algebraic structure of $Δ v Δ_{\infty} v$ : for every $v \in C^{\infty}$ ,…

math.AP2019

Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian $H (p) \in C^{0} (R^{n})$ with $n \geq 3$

Peng Fa, Qianyun Miao, Yuan Zhou

Suppose that $n \geq 3$ and $H (p) \in C^{0} (R^{n})$ is a locally strongly convex and concave Hamiltonian. We obtain the everywhere differentiability of all absolute minimizers for…

math.AP2019★ 2 cited

A quantative Sobolev regularity for absolute minimizers involving Hamiltonian $H (p) \in C^{0} (R^{2})$ in plane

Peng Fa, Qianyun Miao, Yuan Zhou

Suppose that $H \in C^{0} (R^{2})$ satisfies \begin{enumerate} \item[(H1)] $H$ is locally strongly convex and locally strongly concave in $\rr^2$, \item[(H2)] $H(0)=\min_{p\in…

Second order regularity for elliptic and parabolic equations involving p-Laplacian via a fundamental inequality

Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian H(p)∈C0(Rn) with n≥3

A quantative Sobolev regularity for absolute minimizers involving Hamiltonian H(p)∈C0(R2) in plane

Second order regularity for elliptic and parabolic equations involving $p$ -Laplacian via a fundamental inequality

Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian $H (p) \in C^{0} (R^{n})$ with $n \geq 3$

A quantative Sobolev regularity for absolute minimizers involving Hamiltonian $H (p) \in C^{0} (R^{2})$ in plane