Bifurcation of positive solutions for the one-dimensional (p; q)-laplace equation

Ryuji Kajikiya, Mieko Tanaka, Satoshi Tanaka

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this article, we study the bifurcation of positive solutions for the one-dimensional (p; q)-Laplace equation under Dirichlet boundary conditions. We investigate the shape of the bifurcation diagram and prove that there exist five different types of bifurcation diagrams. As a consequence, we prove the existence of multiple positive solutions and show the uniqueness of positive solutions for a bifurcation parameter in a certain range.

Original languageEnglish
Article number107
JournalElectronic Journal of Differential Equations
Volume2017
Publication statusPublished - 2017 Jan 1
Externally publishedYes

Keywords

  • (p, q)-Laplace equation
  • Bifurcation
  • Multiple solutions
  • Positive solution
  • Time map

ASJC Scopus subject areas

  • Analysis

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