Extremal solutions for second-order fully discontinuous problems with nonlinear functional boundary conditions

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University of Szeged
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We provide new results concerning the existence of extremal solutions for a class of second-order problems with nonlinear functional boundary conditions where the nonlinearity considered may be discontinuous with respect to all of its variables. The main result relies on recent fixed point theorems for discontinuous operators and the lower and upper solution method.

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Figueroa, R., López Pouso, R., & Rodríguez-López, J. (2018). Extremal solutions for second-order fully discontinuous problems with nonlinear functional boundary conditions. Electronic Journal Of Qualitative Theory Of Differential Equations, (29), 1-14. doi: 10.14232/ejqtde.2018.1.29

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Rodrigo López Pouso was partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, Project MTM2016-75140-P, and Xunta de Galicia ED341D R2016/022 and GRC2015/004. Jorge Rodríguez-López was financially supported by Xunta de Galicia Scholarship ED481A-2017/178

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This is an open access article distributed under the Creative Commons Attribution License (CC BY 4.0)