M. Leung

activity

19992002

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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.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…

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

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

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