Advances in Differential Equations

Multiple bifurcations of sign-changing solutions for one-dimensional $p$-Laplace equation with a critical weight

Ryuji Kajikiya and Yong-Hoon Lee

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Abstract

In this paper, we study one-dimensional $p$-Laplace equation, whose weight function has a critical power at the origin. We show the existence of infinitely many bifurcation branches emanating from the same single point and also study the existence and multiplicity of sign-changing solutions. Moreover, we investigate the global shape of bifurcation branches.

Article information

Source
Adv. Differential Equations Volume 19, Number 3/4 (2014), 283-316.

Dates
First available in Project Euclid: 30 January 2014

Permanent link to this document
https://projecteuclid.org/euclid.ade/1391109087

Mathematical Reviews number (MathSciNet)
MR3161663

Subjects
Primary: 34B09: Boundary eigenvalue problems 34B16: Singular nonlinear boundary value problems 34C23: Bifurcation [See also 37Gxx]

Citation

Kajikiya, Ryuji; Lee, Yong-Hoon. Multiple bifurcations of sign-changing solutions for one-dimensional $p$-Laplace equation with a critical weight. Adv. Differential Equations 19 (2014), no. 3/4, 283--316. https://projecteuclid.org/euclid.ade/1391109087.


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