摘要: We investigate the Dirichlet problem for multidimensional variational integrals with linear growth which is formulated in a generalized way in the space of functions of bounded …
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Enrico Giusti, Superfici cartesiane di area minima Rendiconti del Seminario Matematico e Fisico di Milano. ,vol. 40, pp. 135- 153 ,(1970) , 10.1007/BF02923230
Paolo Marcellini, On the definition and the lower semicontinuity of certain quasiconvex integrals Annales De L Institut Henri Poincare-analyse Non Lineaire. ,vol. 3, pp. 391- 409 ,(1986) , 10.1016/S0294-1449(16)30379-1
M. Bildhauer, A Uniqueness Theorem for the Dual Problem Associated to a Variational Problem with Linear Growth Journal of Mathematical Sciences. ,vol. 115, pp. 2747- 2752 ,(2003) , 10.1023/A:1023313701565
C. Hamburger, Regularity of differential forms minimizing degenerate elliptic functionals. Crelle's Journal. ,vol. 431, pp. 7- 64 ,(1992)
G. Williams, W. P. Ziemer, P. Sternberg, Existence, uniqueness, and regularity for functions of least gradient Crelle's Journal. ,vol. 430, pp. 35- 60 ,(1992)
M. Bildhauer, M. Fuchs, Regularity for Dual Solutions and for Weak Cluster Points of Minimizing Sequences of Variational Problems with Linear Growth Journal of Mathematical Sciences. ,vol. 109, pp. 1835- 1850 ,(2002) , 10.1023/A:1014436106908
Michael Bildhauer, Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions ,(2003)
Diego Pallara, Luigi Ambrosio, Nicola Fusco, Functions of Bounded Variation and Free Discontinuity Problems ,(2000)
Enrico Giusti, Minimal surfaces and functions of bounded variation ,(1977)
Herbert Federer, Geometric Measure Theory ,(1969)