Abstract
In this paper, we prove a theorem on the existence of extremal solutions to a second-order differential inclusion with boundary conditions, governed by the subdifferential of a convex function. We also show that the extremal solutions set is dense in the solutions set of the original problem.
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Azzam-Laouir, D., Melit, S. Density of the Extremal Solutions for a Class of Second Order Boundary Value Problem. Mediterr. J. Math. 15, 182 (2018). https://doi.org/10.1007/s00009-018-1227-4
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DOI: https://doi.org/10.1007/s00009-018-1227-4