Xu, Xingye The boundary value problem for nonlinear elliptic equations in annular domains. (Chinese. English summary) Zbl 0973.35082 Acta Math. Sci. (Chin. Ed.) 20, Suppl., 675-683 (2000). Summary: We establish the existence of positive radial symmetric solutions of Dirichlet (Dirichlet-Neumann) boundary-value problems for the equation \(\Delta u+f(|x|,u)= 0\) in an annular domain. Cited in 3 Documents MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs Keywords:boundary condition; radial derivative; initial value problem; shooting method; Sturm comparison theorem PDFBibTeX XMLCite \textit{X. Xu}, Acta Math. Sci. (Chin. Ed.) 20, 675--683 (2000; Zbl 0973.35082)