Three positive solutions for one-dimensional p-Laplacian problem with sign-changing weight

Inbo Sim, Satoshi Tanaka

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

Abstract We show that one-dimensional p-Laplacian with a sign-changing weight which is subject to Dirichlet boundary condition has three positive solutions suggesting suitable conditions on the weight function and nonlinearity. Proofs are mainly based on the directions of a bifurcation.

Original languageEnglish
Article number4774
Pages (from-to)42-50
Number of pages9
JournalApplied Mathematics Letters
Volume49
DOIs
Publication statusPublished - 2015 Nov 1
Externally publishedYes

Keywords

  • A-priori bound
  • Bifurcation
  • Boundary value problem
  • Three positive solutions
  • p-Laplacian

ASJC Scopus subject areas

  • Applied Mathematics

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