M. Leung

activity

19992002

collaborators

5 papers

math.AP2002

Blow-up solutions of nonlinear elliptic equations in R^n with critical exponent

Man Chun Leung

For an integer $n \geq 3$ and any positive number $ε$ we establish the existence of smooth functions K on $R^{n} ∖ {0}$ with $∣ K - 1∣ \leq ε$ , such that the equation $Δu + n…

math.AP2002

Combining solutions of semilinear partial differential equations in R^n with critical exponent

Man Chun Leung

Let $u_{1}$ and $u_{2}$ be two different positive smooth solutions of the equation $Δ u + n (n - 2) u^{\frac{n + 2}{n - 2}} = 0$ in $R^{n} (n \geq 3) .$ By a result of Gidas, Ni and Nirenb…

math.DG2001

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.

math.AP2000

Growth estimates on positive solutions of the equation $Δ u + K u^{\frac{n + 2}{n - 2}} = 0$ in $R^{n}$

Man Chun Leung

We construct unbounded positive $C^{2}$ -solutions of the equation $Δ u + K u^{(n + 2) / (n - 2)} = 0$ in $R^{n}$ (equipped with Euclidean metric $g_{o}$ ) such that $K$ is bounded between…

math.DG1999

Asymptotic Behavior of Positive Solutions of the Equation $Δ u + K u^{(n + 2) / (n - 2)} = 0$ in R^n and Positive Scalar Curvature

Ka-Luen Cheung, Man-Chun Leung

We study asymptotic behavior of positive smooth solutions of the conformal scalar curvature equation in $R^{n}$ . We consider the case when the scalar curvature of the conformal…

Blow-up solutions of nonlinear elliptic equations in R^n with critical exponent

Combining solutions of semilinear partial differential equations in R^n with critical exponent

Conformal Scalar Curvature Equations in Open Spaces

Growth estimates on positive solutions of the equation Δu+Kun−2n+2​=0 in Rn

Asymptotic Behavior of Positive Solutions of the Equation Δu+Ku(n+2)/(n−2)=0 in R^n and Positive Scalar Curvature

Growth estimates on positive solutions of the equation $Δ u + K u^{\frac{n + 2}{n - 2}} = 0$ in $R^{n}$

Asymptotic Behavior of Positive Solutions of the Equation $Δ u + K u^{(n + 2) / (n - 2)} = 0$ in R^n and Positive Scalar Curvature