Differential and Integral Equations

Quasilinear equations with a multiple bifurcation

Antonio Ambrosetti, Jesus Garcia Azorero, and Ireneo Peral

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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

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

First available in Project Euclid: 6 May 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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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