Data di Pubblicazione:
2015
Citazione:
Minimization of a fractional perimeter-Dirichlet integral functional / L. Caffarelli, O. Savin, E. Valdinoci. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 32:4(2015), pp. 901-924. [10.1016/j.anihpc.2014.04.004]
Abstract:
We consider a minimization problem that combines the Dirichlet energy with the nonlocal perimeter of a level set, namely (Formula presented.), with σ ∈ (0,1). We obtain regularity results for the minimizers and for their free boundaries ∂u>0 using blow-up analysis. We will also give related results about density estimates, monotonicity formulas, Euler-Lagrange equations and extension problems.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Fractional minimal surfaces; Free boundary problems; Regularity theory; Analysis; Mathematical Physics
Elenco autori:
L. Caffarelli, O. Savin, E. Valdinoci
Link alla scheda completa: