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math.AP2015★ 24 cited
Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness
Graziano Crasta, Virginia De Cicco, Guido De Philippis +1
We investigate the structure of solutions of conservation laws with discontinuous flux under quite general assumption on the flux. We show that any entropy solution admits traces o…
math.AP2015
A direct approach to Plateau's problem in any codimension
Guido De Philippis, Antonio De Rosa, Francesco Ghiraldin
This paper aims to propose a direct approach to solve the Plateau's problem in codimension higher than one. The problem is formulated as the minimization of the Hausdorff measure a…