3 citations · 4 across the 3 of their papers we have counts for
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Regularity from -harmonic potentials to -harmonic potentials in convex rings
Fa Peng, Yi Ru-Ya Zhang, Yuan Zhou
The exploration of shape metamorphism, surface reconstruction, and image interpolation raises fundamental inquiries concerning the and higher-order regularity of -har…
Jacobian determinants for (nonlinear) gradient of planar -harmonic functions and applications
Hongjie Dong, Fa Peng, Yi Ru-Ya Zhang +1
In dimension 2, we introduce a distributional Jacobian determinant for the nonlinear complex gradient for any , wh…
Interior Hölder regularity for stable solutions to semilinear elliptic equations up to dimension 5
Fa Peng, Yi Ru-Ya Zhang, Yuan Zhou
Let . We establish an apriori interior Hölder regularity of -stable solutions to the semilinear equation in any domain of for any nonlinearity $f…
Regularity of absolute minimizers for continuous convex Hamiltonians
Peng Fa, Changyou Wang, Yuan Zhou
For any , $Ω\subset\rn$, and any given convex and coercive Hamiltonian function $H\in C^{0}(\rn)$, we find an optimal sufficient condition on , that is, for any $c\in\ma…