Heidari Tavani, Mohammad Reza; Nazari, Abdollah Existence of weak solutions for three-point boundary value problems of Kirchhoff-type. (English) Zbl 1438.34227 Miskolc Math. Notes 20, No. 1, 539-554 (2019). Summary: In this paper, we study the existence and multiplicity of solutions for a perturbed three-point boundary value problem of Kirchhoff-type. The approach is based on variational methods and critical point theory. As applications of these methods, we get several multiplicity results for the problems under consideration. MSC: 34K10 Boundary value problems for functional-differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations 35B32 Bifurcations in context of PDEs 35D30 Weak solutions to PDEs 35J20 Variational methods for second-order elliptic equations 35J60 Nonlinear elliptic equations Keywords:critical point theory; weak solution; variational method; Kirchhoff-type problem PDFBibTeX XMLCite \textit{M. R. Heidari Tavani} and \textit{A. Nazari}, Miskolc Math. Notes 20, No. 1, 539--554 (2019; Zbl 1438.34227) Full Text: DOI