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The impact of Gårding inequalities on uniqueness

Analysis, Dynamics, and Applications Seminar

The impact of Gårding inequalities on uniqueness
Series: Analysis, Dynamics, and Applications Seminar
Location: ONLINE
Presenter: Judith Campos Cordero, Department of Mathematics, Universidad Nacional Autónoma de Mexico

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.

 

Zoom: https://arizona.zoom.us/j/99410014231
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