Author:
Gatica Juan A.,Hernandez Gaston E.,Waltman P.
Abstract
The boundary value problemis studied with a view to obtaining the existence of positive solutions in C1([0, 1])∩C2((0, 1)). The function f is assumed to be singular in the second variable, with the singularity modeled after the special case f(x, y) = a(x)y−p, p>0.This boundary value problem arises in the search of positive radially symmetric solutions towhere Ω is the open unit ball in ℝN, centered at the origin, Γ is its boundary and |x| is the Euclidean norm of x.
Publisher
Cambridge University Press (CUP)
Reference12 articles.
1. A Singular Bifurcation Problem
2. Singular nonlinear boundary value problems for second-order ordinary differential equations
3. Symmetry of positive solutions of nonlinear elliptic equations in ℝn;Gidas;Adv. Math Suppl. Stud.,1981
4. On radial solutions of some semilinear elliptic equations;Erbe;Diff. and Int. Equations,1988
5. Near radially symmetric solutions of an inverse problem in geometric optics
Cited by
23 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献