Pudipeddi, S. Localized radial solutions for a nonlinear \(p\)-Laplacian equation in \(\mathbb{R}^N\). (English) Zbl 1183.34040 Electron. J. Qual. Theory Differ. Equ. 2008, Paper No. 20, 23 p. (2008). Summary: We establish the existence of radial solutions to the \(p\)-Laplacian equation \[ \Delta_p u + f(u)=0 \] in \(\mathbb {R^N}\), where \(f\) behaves like \(|u|^{q-1}u\) when \(u\) is large and \(f(u) < 0\) for small positive \(u\). We show that for each nonnegative integer \(n\), there is a localized solution \(u\) which has exactly \(n\) zeros. Cited in 1 Document MSC: 34B40 Boundary value problems on infinite intervals for ordinary differential equations 35J60 Nonlinear elliptic equations PDFBibTeX XMLCite \textit{S. Pudipeddi}, Electron. J. Qual. Theory Differ. Equ. 2008, Paper No. 20, 23 p. (2008; Zbl 1183.34040) Full Text: DOI EMIS