Let Ω be a smooth domain in R^2 , we prove that if g : [0, +∞) → [0, +∞] is convex, but not strictly convex, with g(0) < g(t) whenever t > 0 then there exists an unique Lipschitz-continuous minimizer of the convex integral functional with energy density g.
A uniqueness result for a class of non-strictly convex variational problems / Lussardi, Luca; Mascolo, Elvira. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 446:(2017), pp. 1687-1694. [10.1016/j.jmaa.2016.09.060]
A uniqueness result for a class of non-strictly convex variational problems
MASCOLO, ELVIRA
2017
Abstract
Let Ω be a smooth domain in R^2 , we prove that if g : [0, +∞) → [0, +∞] is convex, but not strictly convex, with g(0) < g(t) whenever t > 0 then there exists an unique Lipschitz-continuous minimizer of the convex integral functional with energy density g.File in questo prodotto:
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