Surfaces minimizing nonlocal energies

  • Luis A. Caffarelli

    University of Texas at Austin, USA


In this lecture, we discuss what we understand by a non local diffusion equation and explain the particular case of surface evolution by non local mean curvature and the corresponding minimal surfaces.

Cite this article

Luis A. Caffarelli, Surfaces minimizing nonlocal energies. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 20 (2009), no. 3, pp. 281–299

DOI 10.4171/RLM/547