Asymptotic behaviour of a nonlinear elliptic equation with critical Sobolev exponent: the radial case. II
It is described the asymptotic behaviour of the positive radially symmetric solution \(u_\varepsilon\) as \(\varepsilon\to 0\) of the equation \[ \Delta u +a(| x| )u=N(N-2)f(| x| )u^{{N+2\over N-1}-\varepsilon} \quad \text{ in} \;B, \] where \(B\) is the unit ball in \({\mathbb R}^N\), \(N\geq 3\) and \(a,f : {\mathbb R}\to {\mathbb R}\) are smooth functions. There are also recovered existence results for the critical equation. Part I, cf. Adv. Differ. Equ. 6, No. 7, 821--846 (2001; Zbl 1087.35026).
scientific article; zbMATH DE number 1836996