Fa Peng

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math.AP2022

A global second order Sobolev regularity for $p$ -Laplacian type equations with variable coefficients in bounded domains

Qianyun Miao, Fa Peng, Yuan Zhou

Let $Ω \subset R^{n}$ be a bounded convex domain with $n \geq 2$ . Suppose that $A$ is uniformly elliptic and belongs to $W^{1, n}$ when $n \geq 3$ or $W^{1, q}$ for some $q > 2$ when $n = 2$ . Fo…

math.AP2021

$H W_{loc}^{2, 2}$ -regularity for $p$ -harmonic functions in Heisenberg groups

Jiayin Liu, Fa Peng, Yuan Zhou

Let $1 < p \leq 4$ when $n = 1$ and $1 < p < 3 + \frac{1}{n - 1}$ when $n \geq 2$ . We obtain the second-order horizontal Sobolev $H W_{loc}^{2, 2}$ -regularity of $p$ -harmonic functions in the H…

A global second order Sobolev regularity for p-Laplacian type equations with variable coefficients in bounded domains

HWloc2,2​-regularity for p-harmonic functions in Heisenberg groups

A global second order Sobolev regularity for $p$ -Laplacian type equations with variable coefficients in bounded domains

$H W_{loc}^{2, 2}$ -regularity for $p$ -harmonic functions in Heisenberg groups