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Structure of approximate solutions of variational problems with extended-valued convex integrands

Alexander J. Zaslavski — 2009

ESAIM: Control, Optimisation and Calculus of Variations

In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : R n × R n R 1 { } , where R n is the n -dimensional euclidean space. We obtain a full description of the structure of the approximate solutions which is independent of the length of the interval, for all sufficiently large intervals.

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