14 citations · 89 across the 19 of their papers we have counts for
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math.AP2013★ 13 cited
Nonlocal Minimal Lawson Cones
Juan Davila, Manuel del Pino, Juncheng Wei
We prove the existence of the analog of Lawson's minimal cones for a notion of nonlocal minimal surface introduced by Caffarelli, Roquejoffre and Savin, and establish their stabili…
math.AP2013★ 8 cited
Non degeneracy of the bubble in the critical case for non local equations
Juan Davila, Manuel del Pino, Yannick Sire
We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional Laplacian.