On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity

We revisit the problem of approximating minimizers of certain convex functionals subject to a convexity constraint by solutions of fourth order equations of Abreu type. This approximation problem was studied in previous articles of Carlier–Radice (Approximation of variational problems with a convexi...

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Vydáno v:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics Ročník 151; číslo 1; s. 356 - 376
Hlavní autor:	Le, Nam Q.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Edinburgh, UK Royal Society of Edinburgh Scotland Foundation 01.02.2021 Cambridge University Press
Témata:	Approximation Convexity Economic analysis Economic models Elastic shells Partial differential equations Two dimensional models Singular Abreu equation Second boundary value problem 35J96 35J40 49K30 Convex functional 35B40 Wrinkling patterns Rochet–Choné model Convexity constraint
ISSN:	0308-2105, 1473-7124
On-line přístup:	Získat plný text
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