Cartesian currents in the calculus of variations

By M. Hazewinkel. 2003

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On the Dirichlet problem for variational integrals in BV (2012, methodology): “3) has been proposed in [43, 7] and adapts classical ideas from [49] and the BV -theory of area minimizing hypersurfaces [27, 65, 45, 66]; compare the monographs [37, 46, 44, 6].”
Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions (2003, background): “A variety of references is available for the study of this variational integrand, let us mention the monographs of Giusti ([Giu2]) and Giaquinta/Modica/Souček ([GMS2]) at this point.”