## Differential and Integral Equations

### Quasilinear equations with a multiple bifurcation

#### Abstract

We prove that Problem $(1)$ below possesses infinitely many continua of radial solutions branching off at $\lambda=0$ from the trivial solution, each continuum being characterized by nodal properties. The nonlinearities $h$ and $g$ are neither assumed to be odd, nor required to satisfy any growth restriction. For some classes of problems we also study the global behaviour of the continua.

#### Article information

Source
Differential Integral Equations, Volume 10, Number 1 (1997), 37-50.

Dates
First available in Project Euclid: 6 May 2013

https://projecteuclid.org/euclid.die/1367846882

Mathematical Reviews number (MathSciNet)
MR1424797

Zentralblatt MATH identifier
0879.35021

Subjects
Primary: 35J60: Nonlinear elliptic equations