On the existence and uniqueness of minima and maxima on spheres of the integral functional of the calculus of variations

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dc.creatorRicceri, Biagio
dc.date2005-10-10
dc.date2005-10-22
dc.date.accessioned2026-07-07T06:47:18Z
dc.date.available2026-07-07T06:47:18Z
dc.descriptionWe deal with the integral functional of the calculus of variations assuming that the gradient of the integrand is Lipschitzian. We then prove that if this gradient does not vanish at zero, then the functional has a unique minimum and a unique maximum on each sphere, centered at zero, with radius small enough.
dc.identifierhttps://arxiv.org/abs/math/0510191
dc.identifierhttp://arxiv.org/abs/math/0510191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103607
dc.subjectOptimization and Control
dc.subject49K27
dc.titleOn the existence and uniqueness of minima and maxima on spheres of the integral functional of the calculus of variations
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