Abstract for the talk on 30.09.2021 (14:45 h)Seminar on Nonlinear Algebra
Bogdan Raita (MPI MIS, Leipzig)
Syzygies of non-constant rank operators
We investigate linear PDEs with constant coefficients. These are viewed as constraints for nonlinear variational problems arising in Continuum Mechanics, most properties of which are well understood in the case of constant rank” operators. We use algebraic properties of the linear PDE to derive a first lower semicontinuity result for variational integrals under non-constant rank constraints.