Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball
Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball
We prove the existence of infinitely many positive, radially symmetric and decreasing solutions of the quasilinear elliptic problem $$ \begin{cases} -{\hbox{div} (a(|\nabla u|^2) \, \nabla u )} = f(|\hbox{x}|,u), & \hbox{ in }\, B_R,\\ \quad u = 0, & \hbox{ on }\, \partial B_R, \end{cases} $$ where $B_R$ is a …