Fa Peng

most citedRegularity of absolute minimizers for continuous convex Hamiltonians

3 citations · 3 across the 1 of their papers we have counts for

collaborators

3 papers

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.AP2022

Interior Hölder regularity for stable solutions to semilinear elliptic equations up to dimension 5

Fa Peng, Yi Ru-Ya Zhang, Yuan Zhou

Let $2 \leq n \leq 5$ . We establish an apriori interior Hölder regularity of $C^{2}$ -stable solutions to the semilinear equation $- Δ u = f (u)$ in any domain of $R^{n}$ for any nonlinearity $f…

math.AP2019★ 3 cited

Regularity of absolute minimizers for continuous convex Hamiltonians

Peng Fa, Changyou Wang, Yuan Zhou

For any $n \geq 2$ , $Ω\subset\rn$, and any given convex and coercive Hamiltonian function $H\in C^{0}(\rn)$, we find an optimal sufficient condition on $H$ , that is, for any $c\in\ma…

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

Interior Hölder regularity for stable solutions to semilinear elliptic equations up to dimension 5

Regularity of absolute minimizers for continuous convex Hamiltonians

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