Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899800 | Journal of Mathematical Analysis and Applications | 2018 | 23 Pages |
Abstract
We study the bifurcation problem of positive solutions for the one-dimensional (p,q)-Laplace equation with nonlinear term urâ1. There are five types of order relations for (p,q,r). We investigate the exact shape of the bifurcation curve in each type of the order relation. We prove that there are two types of bifurcation curves that are increasing, two types that are decreasing, and one that is not monotone and turns exactly once. Moreover, we study the asymptotic profile of the normalized solution u(x)/âuââ as âuâââ0 or âuââââ, where âuââ denotes the Lâ-norm of u.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ryuji Kajikiya, Inbo Sim, Satoshi Tanaka,