2 papers
math.AP2024
On Local Solutions of Second Order Quasi-linear Elliptic Systems with Arbitrary 1-Jet at a Point
Yifei Pan, Yu Yan
We prove a general result on the existence of local solutions of any second order quasi-linear elliptic system with arbitrary 1-jet at a point.
math.AP2022
Examples of Twice Differentiable Functions in with Continuous Laplacian and Unbounded Hessian
Yifei Pan, Yu Yan
We construct examples of twice differentiable functions in with continuous Laplacian and unbounded Hessian. The same construction is also applicable to higher order…