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math.AP2021
Existence of minimizers for a generalized liquid drop model with fractional perimeter
Matteo Novaga, Fumihiko Onoue
We consider the minimization problem of the functional given by the sum of the fractional perimeter and a general Riesz potential, which is one generalization of Gamow's liquid dro…
math.AP2021
Local Hölder regularity of minimizers for nonlocal variational problems
Matteo Novaga, Fumihiko Onoue
We study the regularity of solutions to a nonlocal variational problem, which is related to the image denoising model, and we show that, in two dimensions, minimizers have the same…