Problems with Mean Curvature-Like Operators and Three-Point Boundary Conditions



In this paper we study the existence of solutions for a new class of nonlinear differential equations with three-point boundary conditions. Existence of solutions are obtained by using the Leray–Schauder degree.


Boundary value problems Leray–Schauder degree Mean curvature-like operators 

Mathematics Subject Classification

34B15 47H11 



This research was supported by CAPES and CNPq/Brazil. The author would like to thank to Dr. Pierluigi Benevieri for his kind advice and for the constructive revision of this paper.

Compliance with ethical standards

Conflict of interest

The author declares that there is no conflict of interest regarding the publication of this article.


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Copyright information

© Sociedade Brasileira de Matemática 2017

Authors and Affiliations

  1. 1.Department of MathematicsIME-USP, Cidade UniversitáriaSão PauloBrazil

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