@article{Shen2024, 
author = {Wenguo Shen},
title = {Unilateral global interval bifurcation and one-sign solutions for Kirchhoff type problems},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {19546-19556},
keywords = {unilateral global interval bifurcation, one-sign solutions, Kirchhoff type problems},
url = {https://www.sciopen.com/article/10.3934/math.2024953},
doi = {10.3934/math.2024953},
abstract = {In this paper, we study the following Kirchhoff type problems:         {                            −          (                      ∫                          Ω                                            |                    ∇          u                                    |                                      2                                d          x          )          Δ          u          =          λ                      u                          3                                +          g          (          u          ,          λ          )          ,                                                                                                      i            n                                        Ω          ,                                      u          =          0          ,                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            o            n                                        ∂          Ω          ,                        where    λ is a parameter. Under some natural hypotheses on    g and    Ω, we establish a unilateral global bifurcation result from interval for the above problem. By applying the above result, under some suitable assumptions on nonlinearity, we shall investigate the existence of one-sign solutions for a class of Kirchhoff type problems.}
}