Differential and Integral Equations

Quasilinear equations with a multiple bifurcation

Antonio Ambrosetti, Jesus Garcia Azorero, and Ireneo Peral

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1367846882

Mathematical Reviews number (MathSciNet)
MR1424797

Zentralblatt MATH identifier
0879.35021

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B32: Bifurcation [See also 37Gxx, 37K50]

Citation

Ambrosetti, Antonio; Garcia Azorero, Jesus; Peral, Ireneo. Quasilinear equations with a multiple bifurcation. Differential Integral Equations 10 (1997), no. 1, 37--50. https://projecteuclid.org/euclid.die/1367846882


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