17 citations · 26 across the 14 of their papers we have counts for
14 papers
Refined estimates for simple blow-ups of the scalar curvature equation on S^n
Man Chun Leung
In their work on a sharp compactness theorem for the Yamabe problem, Khuri, Marques and Schoen apply a refined blow-up analysis (what we call `second order blow-up argument' in thi…
Conformal scalar curvature equation on S^n: functions with two close critical points (twin pseudo-peaks)
Man Chun Leung, Feng Zhou
By using the Lyapunov-Schmidt reduction method without perturbation, we consider existence results for the conformal scalar curvature on S^n (n greater or equal to 3) when the pres…
Construction of Blow-up Sequence for the Conformal Scalar Curvature Equation on S^n. I, II, and Appendix
Man Chun Leung
Using the Lyapunov-Schmidt reduction method, we describe how to use annular domains to construct (scalar curvature) functions on S^n, (n > 5), so that each one of them enables the…
Blow-up solutions of nonlinear elliptic equations in R^n with critical exponent
Man Chun Leung
For an integer and any positive number we establish the existence of smooth functions K on with , such that the equation $Δu + n…
Combining solutions of semilinear partial differential equations in R^n with critical exponent
Man Chun Leung
Let and be two different positive smooth solutions of the equation in By a result of Gidas, Ni and Nirenb…
Conformal Scalar Curvature Equations in Open Spaces
Man Chun Leung
The article contains a brief description on the study of conformal scalar curvature equations, and discusses selected topics and questions concerning the equations in open spaces.