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

Year: 2024

Type: article

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

Source: Springer Link (Chiba Institute of Technology)

DOI: 10.1051/wujns/2024294365/pdf

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G5564575016

OpenAlex ID: W6940811710

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