Multiple Sign Changing Radially Symmetric Solutions in a General Class of Quasilinear Elliptic Equations

Claudianor O. Alves, J. V. A. Gonçalves, K. O. Silva

In this paper we prove that the equation $-(r^{\alpha }\varphi (|u^{\prime }(r)|)u^{\prime }(r){)}^{\prime }=\lambda r^{\gamma }f(u(r)),0<r<R$, where $\alpha ,\gamma ,\mathbf{R}$ are given real numbers, $\varphi :(0,\infty )\to (0,\infty )$ is a suit…