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math.AP2017
Existence results for minimizers of parametric elliptic functionals
Guido De Philippis, Antonio De Rosa, Francesco Ghiraldin
We prove a compactness principle for the anisotropic formulation of the Plateau problem in any codimension, in the same spirit of the previous works of the authors \cite{DelGhiMag,…
math.AP2017
Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints
Adolfo Arroyo-Rabasa, Guido De Philippis, Filip Rindler
We show general lower semicontinuity and relaxation theorems for linear-growth integral functionals defined on vector measures that satisfy linear PDE side constraints (of arbitrar…