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Existence of weak solutions for three-point boundary value problems of Kirchhoff-type. (English) Zbl 1438.34227

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
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