Regularity problems in the Calculus of Variations

Abstract: Regularity theory and the Calculus of Variations are unavoidably linked to each other, as in fact, regularity techniques essentially serve to show weak or distributional solutions are in fact classical solutions. Therefore, regularity ensures solvability. This is a topic that has been tremendously developed over the last 100 years, and I will try to give an overview starting from very classical results, passing through the fundamental contributions of De Giorig and Nash, eventually approaching some of the most recent developments involving nonuniformly elliptic problems.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)