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Functionals with linear growth in the calculus of variations. I. (English) Zbl 0409.49006

MSC:
49J10 Existence theories for free problems in two or more independent variables
35J60 Nonlinear elliptic equations
35J20 Variational methods for second-order elliptic equations
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
35D30 Weak solutions to PDEs
35B65 Smoothness and regularity of solutions to PDEs
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