7 citations · 37 across the 24 of their papers we have counts for
25 papers
Uniformizing non-proper Gromov Hyperbolic Spaces
Shu-Jing Gao, Chang-Yu Guo, Miao He
In this paper, we extend a large part of the uniformization theory of Bonk-Heinonen-Koskela [Asterisque 2001] to length spaces that are not necessarily proper or geodesic. Among ot…
Global weak solution of 3-D focusing energy-critical nonlinear Schrödinger equation
Xing Cheng, Chang-Yu Guo, Yunrui Zheng
In this article, we prove the existence of global weak solutions to the three-dimensional focusing energy-critical nonlinear Schrödinger (NLS) equation in the non-radial case. Furt…
A note to "Radial limits of quasiregular Local Homeomorphisms''
Chang-Yu Guo, Yi Xuan
In this short note, we consider quasiregular local homeomorphisms on uniform domains. We prove that such mappings always can be extended to some boundary points along John curves,…
Global conservation law for an even order elliptic system with antisymmetric potential
Chang-Yu Guo, Chang-Lin Xiang, Gao-Feng Zheng
In this note, we refine the local conservation law obtained by Lamm-Rivière for fourth order systems and de Longueville-Gastel for general even order systems to a global conservati…
regularity theory for even order elliptic systems with antisymmetric first order potentials
Chang-Yu Guo, Chang-Lin Xiang, Gao-Feng Zheng
Motivated by a challenging expectation of Rivière (2011), in the recent interesting work of deLongueville-Gastel (2019), de Longueville and Gastel proposed the following geometrica…
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials
Xing Cheng, Chang-Yu Guo, Zihua Guo +2
In this paper, we consider the following three dimensional defocusing cubic nonlinear Schrödinger equation (NLS) with partial harmonic potential \begin{equation*}\tag{NLS} i\partia…
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…
The Lamm-Riviere system I: regularity theory
Chang-Yu Guo, Chang-Lin Xiang, Gao-Feng Zheng
Motived by the heat flow and bubble analysis of biharmonic mappings, we study further regularity issues of the fourth order Lamm-Riviere system $$Δ^{2}u=Δ(V\cdot\nabla u)+{\rm div}…
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…
Some regularity results for -harmonic mappings between Riemannian manifolds
Chang-Yu Guo, Chang-Lin Xiang
Let be a -smooth Riemannian manifold with boundary and a complete -smooth Riemannian manifold. We show that each stationary -harmonic mapping ,…
Characterizations of generalized John domains in via metric duality
Pawel Goldstein, Zofia Grochulska, Chang-Yu Guo +2
In this paper, we extend the characterization of John disks obtained by Näkki and Väisälä [Exp. Math. 1991] to generalized John domains in higher dimensions under mild assumptions.…
Regularity of quasi-n-harmonic mappings into NPC spaces
Chang-Yu Guo, Chang-Lin Xiang
We prove local Holder continuity of quasi-n-harmonic mappings from Euclidean domains into metric spaces with non-positive curvature in the sense of Alexandrov. We also obtain globa…
Harmonic mappings between singular metric spaces
Chang-Yu Guo
In this paper, we survey the existence, uniqueness and interior regularity of solutions to the Dirichlet problem of Korevaar and Schoen in the setting of mappings between singular…
The theory of quasiregular mappings in metric spaces: progress and challenges
Chang-Yu Guo
We survey the recent developments in the theory of quasireg- ular mappings in metric spaces. In particular, we study the geometric porosity of the branch set of quasiregular mappin…
Area minimizing discs in locally non-compact metric spaces
Chang-Yu Guo, Stefan Wenger
We solve the classical problem of Plateau in every metric space which is -complemented in an ultra-completion of itself. This includes all proper metric spaces as well as many l…
Geometric function theory: the art of pullback factorization
Chang-Yu Guo, Marshall Williams
In this paper, we develop the foundations of the theory of quasiregular mappings in general metric measure spaces. In particular, nine definitions of quasiregularity for a discrete…
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 between two equiregular subRiemannian manifolds of homogeneous dimension are quantitativ…
Inverse problems for -Laplace type equations under monotonicity assumptions
Chang-Yu Guo, Manas Kar, Mikko Salo
We consider inverse problems for -Laplace type equations under monotonicity assumptions. In two dimensions, we show that any two conductivities satisfying and hav…
Quantitative uniqueness estimates for -Laplace type equations in the plane
Chang-Yu Guo, Manas Kar
In this article our main concern is to prove the quantitative unique estimates for the -Laplace equation, , with a locally Lipschitz drift in the plane. To be more p…
Mappings of finite distortion: boundary extensions in uniform domains
Tuomo Akkinen, Chang-Yu Guo
In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extend…
The Canonical Induced Metric for Topological Branched Coverings and Geometric Applications
Chang-Yu Guo, Marshall Williams
Given a continuous map from a continuum-connected space into a metric space, we introduce an associated canonical pullback metric on by combining the target di…
-variational problems associated to measurable Finsler structures
Chang-Yu Guo, Chang-Lin Xiang, Dachun Yang
We study -variational problems associated to measurable Finsler structures in Euclidean spaces. We obtain existence and uniqueness results for the absolute minimizers.
Quasiregular mappings between equiregular SubRiemannian manifolds
Chang-Yu Guo, Sebastiano Nicolussi Golo, Marshall Williams +1
In this paper, we provide an alternative appraoch to an expectaion of Fässler et al [J. Geom. Anal. 2016] by showing that a metrically quasiregular mapping between two equiregular…
Sharpness of uniform continuity of quasiconformal mappings onto s-John domains
Chang-Yu Guo, Pekka Koskela
We construct examples to show the sharpness of uniform continuity of quasiconformal mappings onto -John domains. Our examples also give a negative answer to a prediction in [7].