Abstract
Combining the Clarke-Ekeland dual least action principle and the epi-convergence, we state an existence result and study the asymptotic behaviour for the periodic solution of a nonlinear Sturm-Liouville problem deriving from a convex subquadratic potential, when the data are perturbed in a suitable sense. The result appears like a stability result for the minimizers of a sequence of DC functions.
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Azé, D. An example of stability for the minima of a sequence of dc functions: Homogenization for a class of nonlinear Sturm-Liouville problems. Mathematical Programming 41, 127–140 (1988). https://doi.org/10.1007/BF01580760
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DOI: https://doi.org/10.1007/BF01580760