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math.AP2016
Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals
Lorenzo Brasco, Chiara Leone, Giovanni Pisante +1
We prove higher differentiability of bounded local minimizers to some widely degenerate functionals, verifying superquadratic anisotropic growth conditions. In the two dimensional…
math.AP2016
Global compactness results for nonlocal problems
Lorenzo Brasco, Marco Squassina, Yang Yang
We obtain a Struwe type global compactness result for a class of nonlinear nonlocal problems involving the fractional Laplacian operator and nonlinearities at critical growth.