Mathematics Calendar – List Format

February 17, 2020
February 21, 2020
  • Seminar talk by Dr. Antonio De Rosa, NYU, Courant Institute of Mathematical Sciences

    February 21, 2020  10:00 am - 11:00 am

    Elliptic integrands in geometric variational problems.

    Abstract. Elliptic integrands are used to model anisotropic energies in variational problems. These energies are employed in a variety of applications, such as crystal structures, capillarity problems and gravitational fields, to account for preferred inhomogeneous and directionally dependent configurations. After a brief introduction to variational problems involving elliptic integrands, we will present an overview of the techniques we have developed to prove existence, regularity and uniqueness properties of the critical points of anisotropic energies. In particular, we present the anisotropic extension of Allard's rectifiability theorem and its applications to the Plateau problem. Furthermore, a description of the anisotropic counterpart of Alexandrov's characterization of volume-constrained critical points will be given.

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