Phase plane analysis for radial solutions to supercritical quasilinear elliptic equations in a ball

We consider the following problem $$ Delta_p u +la u +f(u,r)=0 $$ $$u>0 ; extrm{ in $B$, } quad extrm{ and } quad u=0 extrm{ on $; partial B$.} $$ where $B$ is the unitary ball in $mathbb{R}^n$. Merle and Peletier considered the classical Laplace case $p=2$, and proved the existence of a unique value $la_0^*$ for which a radial singular positive solution exists, assuming $f(u,r)=u^{q-1}$ and $q>2^*:=rac{2n}{n-2}$. Then Dolbeault and Flores proved that, if $q>2^*$ but $q$ is smaller than the Joseph-Lundgren exponent $sigma^*$, then there is an unbounded sequence of radial positive classical solutions for (1), which accumulate at $la=la_0^*$, again for $p=2$.