Some bifurcation results for a class of \(p\)-Laplacian like operators (Q1374498)

Let us consider the boundary value problem \[ \begin{aligned} -\operatorname {div} \big (A(|\nabla u|)\nabla u\big)&=g\big (|x|,u,\lambda \big)\text{ in }\Omega ,\\ u&=0\text{ on }\partial \Omega , \end{aligned} \tag{1} \] where \(\Omega =B(0,R)\), \(R>0\) is the ball of radius \(R\) in \(\mathbb R^N\) and \(A\), \(g\) are continuous functions satisfying certain conditions. This paper is devoted to the study of bifurcation of radial symmetric solutions to (1). The principal part of (1) involves the \(p\)-Laplacian as a special case. The main tool is the Leray-Schauder degree combined with ODE techniques.