Explicit construction, uniqueness, and bifurcation curves of solutions for a nonlinear Dirichlet problem in a ball

This paper presents a method for the explicit construction of radially symmetric solutions to the semilinear elliptic problem $$displaylines{ Delta v + f(v) = 0 quad hbox{in }Bcr v = 0 quad hbox{on }partial B,, } $$ where $B$ is a ball in ${mathbb R}^N$ and $f$ is a continuous piecewise linear funct...

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Bibliographic Details
Main Authors: Horacio Arango, Jorge Cossio
Format: Article
Language:English
Published: Texas State University 2000-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/05/a1/abstr.html