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math.AP2015
Compact Sobolev embeddings and torsion functions
Lorenzo Brasco, Berardo Ruffini
For a general open set, we characterize the compactness of the embedding in terms of the summability of its torsion function. In particular, for $1\l…
math.AP2015
Global Lipschitz continuity for minima of degenerate problems
Pierre Bousquet, Lorenzo Brasco
We consider the problem of minimizing the Lagrangian among functions on with given boundary datum . We prove Lipschitz regularit…