The impact of Gårding inequalities on uniqueness
In this talk we discuss the question of uniqueness of minimizers of integral quasiconvex functionals. It is known that, in this setting, no uniqueness is to be expected in general. However, the situation is different if we impose suitable smallness conditions on the Dirichlet boundary datum. Employing strategies typically arising in regularity theory, the quasiconvexity condition allows us to establish a Gårding inequality that, in turn, leads to our uniqueness result and other interesting observations regarding uniqueness of minimizers. The talk is based on a joint work with Jan Kristensen.
Password: “arizona” (all lower case)