Open Access
1997 Quasilinear equations with a multiple bifurcation
Antonio Ambrosetti, Jesus Garcia Azorero, Ireneo Peral
Differential Integral Equations 10(1): 37-50 (1997). DOI: 10.57262/die/1367846882


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.


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Antonio Ambrosetti. Jesus Garcia Azorero. Ireneo Peral. "Quasilinear equations with a multiple bifurcation." Differential Integral Equations 10 (1) 37 - 50, 1997.


Published: 1997
First available in Project Euclid: 6 May 2013

zbMATH: 0879.35021
MathSciNet: MR1424797
Digital Object Identifier: 10.57262/die/1367846882

Primary: 35J60
Secondary: 35B32

Rights: Copyright © 1997 Khayyam Publishing, Inc.

Vol.10 • No. 1 • 1997
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