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Some results about the uniqueness of the solutions in the calculus of variations
- Speaker(s)
- Benjamin Lledos
- Affiliation
- Université Paul Sabatier, Institut de Mathématiques de Toulouse
- Date
- May 25, 2023, 12:30 p.m.
- Room
- room 5070
- Seminar
- Seminar of Mathematical Physics Equations Group
We want to find a framework in which we can establish the uniqueness of solutions for non-strictly convex problems in the calculus of variations. The main idea is to extend a method devised by Marcellini for a particular scenario. By examining various counterexamples and a simpler case, we demonstrate the uniqueness for two specific problems. These results rely on the global Lipschitz regularity of the minimizers and a comprehensive understanding of the regularity of their level sets.
