On second order multiple integrals in the calculus of variations

  • Neil Trudinger (ANU Canberra)
Lecture room Princeton University (Princeton)


In this talk we consider variational problems for multiple integrals with integrands containing second order partial derivatives , with fourth order Euler-Lagrange equations. A particular example is the affine area functional , which is invariant under uni-modular affine transformations of the ambient space. We shall discuss the existence and uniqueness of maximisers in appropriate weak formulations, the solvability of boundary value problems, issues of regularity and Bernstein-Liouville type results.

14.11.02 16.11.02

Quasiconvexity and its applications

Princeton University Lecture room

John Ball

University of Oxford

Weinan E

Princeton University

Robert Kohn

New York University

Stefan Müller

Max Planck Institute for Mathematics in the Sciences