M. Leung

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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…