Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity-Reference-Cited by-同舟云学术

Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity

Published:2016-02-18 Issue:6 Volume:195 Page:2131-2170
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata (1923 -)
language:en
Short-container-title:Annali di Matematica

Author:

Bellettini Giovanni,Paolini Maurizio,Tealdi Lucia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10231-016-0556-9.pdf

Reference13 articles.

1. Acerbi, E., Dal Maso, G.: New lower semicontinuity results for polyconvex integrals. Calc. Var. Partial Differ. Equ. 3, 329–371 (1994)

2. Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems, Mathematical Monographs. Oxford Univ. Press, Oxford (2000)

3. Bellettini, G., Paolini, M.: On the area of the graph of a singular map from the plane to the plane taking three values. Adv. Calc. Var. 3, 371–386 (2010)

4. Bellettini, G., Paolini, M., Tealdi L.: On the area of a graph of a piecewise smooth map from the plane to the plane with a curve discontinuity. ESAIM: Control, Optimization and Calculus of Variations, 22(1), 29–63 (2016)

5. Dacorogna, B.: Direct methods in the calculus of variations. Applied Mathematical Sciences. vol. 78. Springer, New York (2008)

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