Chang-Yu Guo

collaborators

4 papers

math.AP2020

Regularity of weak solutions to higher order elliptic systems in critical dimensions

Chang-Yu Guo, Chang-Lin Xiang

In this paper, we develop an elementary and unified treatment, in the spirit of Rivière and Struwe (Comm. Pure. Appl. Math. 2008), to explore regularity of weak solutions of higher…

math.CV2020

Generalized quasidisks and conformality: progress and challenges

Chang-Yu Guo, Haiqing Xu

In this notes, we survey the recent developments on theory of generalized quasidisks. Based on the more or less standard techniques used earlier, we also provide some minor improve…

math.DG2016

Equivalence of quasiregular mappings on subRiemannian manifolds via the Popp extension

Chang-Yu Guo, Tony Liimatainen

We show that all the common definitions of quasiregular mappings $f : M \to N$ between two equiregular subRiemannian manifolds of homogeneous dimension $Q \geq 2$ are quantitativ…

math.AP2016

Inverse problems for $p$ -Laplace type equations under monotonicity assumptions

Chang-Yu Guo, Manas Kar, Mikko Salo

We consider inverse problems for $p$ -Laplace type equations under monotonicity assumptions. In two dimensions, we show that any two conductivities satisfying $σ_{1} \geq σ_{2}$ and hav…

Regularity of weak solutions to higher order elliptic systems in critical dimensions

Generalized quasidisks and conformality: progress and challenges

Equivalence of quasiregular mappings on subRiemannian manifolds via the Popp extension

Inverse problems for p-Laplace type equations under monotonicity assumptions

Inverse problems for $p$ -Laplace type equations under monotonicity assumptions