Unilateral Global Bifurcation and One-Sign Solutions for Kirchhoff Type Problem in ℝ

\nIn this paper, we study the following Kirchhoff type problem: -M(∫RN∇u2dx)Δu=λa(x)f(u), x∈RN,u=0, asx→+∞.Unilateral global bifurcation result is established for this problem. As applications of the bifurcation result, we determine the intervals of λ for the existence, nonexistence, and exact multiplicity of one-sign solutions for this problem. \n

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2024-09-04
DOI
https://doi.org/10.1051/wujns/2024294365/pdf
Primary Topic
Mycorrhizal Fungi and Plant Interactions
Type
article
Field-Weighted Citation Impact
0.00

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article

Unilateral Global Bifurcation and One-Sign Solutions for Kirchhoff Type Problem in ℝ

Springer Link (Chiba Institute of Technology)
Mycorrhizal Fungi and Plant Interactions
article

Unilateral Global Bifurcation and One-Sign Solutions for Kirchhoff Type Problem in ℝ

article en

Abstract

\nIn this paper, we study the following Kirchhoff type problem: -M(∫RN∇u2dx)Δu=λa(x)f(u), x∈RN,u=0, asx→+∞.Unilateral global bifurcation result is established for this problem. As applications of the bifurcation result, we determine the intervals of λ for the existence, nonexistence, and exact multiplicity of one-sign solutions for this problem. \n

Springer Link (Chiba Institute of Technology)
National Natural Science Foundation of China
Reduced inequalities
Openalex Percentile: Top 59%
Mycorrhizal Fungi and Plant Interactions
DOIOpen Access PDFOpenAlex
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Unilateral Global Bifurcation and One-Sign Solutions for Kirchhoff Type Problem in ℝ · Springer Link (Chiba Institute of Technology) (2024) | TGRS Research Map | TGRS