A bifurcation phenomenon for the critical Laplace and $p$-Laplace equation in the ball

Francesca Dalbono, Matteo Franca, Andrea Sfecci

In this paper we show that the number of radial positive solutions of the following critical problem $${\Delta }_{p}u(x)+\lambda K(|x|)u(x)|u(x){|}^{q-2}=0,$$ $$u(x)>0|x|<1,$$ $…