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

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

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