Differential and Integral Equations

Bifurcation of radially symmetric solutions of degenerate quasilinear elliptic equations

Nobuyoshi Fukagai, Masayuki Ito, and Kimiaki Narukawa

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A bifurcation problem or a nonlinear eigenvalue problem for degenerate quasilinear elliptic equations with Dirichlet boundary condition is studied. A bifurcation branch of radially symmetric solutions for the problem is obtained. The asymptotic behavior of the energy along to this branch is also calculated.

Article information

Differential Integral Equations, Volume 8, Number 7 (1995), 1709-1732.

First available in Project Euclid: 12 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J70: Degenerate elliptic equations
Secondary: 34B15: Nonlinear boundary value problems 35B32: Bifurcation [See also 37Gxx, 37K50] 35J65: Nonlinear boundary value problems for linear elliptic equations 58E07: Abstract bifurcation theory


Fukagai, Nobuyoshi; Ito, Masayuki; Narukawa, Kimiaki. Bifurcation of radially symmetric solutions of degenerate quasilinear elliptic equations. Differential Integral Equations 8 (1995), no. 7, 1709--1732. https://projecteuclid.org/euclid.die/1368397753

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