7 citations · 37 across the 24 of their papers we have counts for
11 papers · 1 filter
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…
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}…
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…
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…
-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.