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SUMMARY:Nonuniform ellipticity and related problems [Lecture]
DTSTART:20261105T094500Z
DTEND:20261105T103000Z
DTSTAMP:20261030T013200Z
UID:indico-event-1710@math-events.uni-bonn.de
DESCRIPTION:Speakers: Filomena De Filippis\n\nStarting from classical elli
 ptic regularity\, this talk will present recent advances in Schauder theor
 y for nonuniformly elliptic variational problems\, focusing on anisotropic
  energies whose growth is arbitrarily close to linear. Such integrals aris
 e in the theory of plasticity with logarithmic hardening\, at the borderli
 ne between power hardening and perfect plasticity. The regularity of their
  minimizers has been extensively studied over the past decades. In the non
 autonomous setting\, a central question raised by Giaquinta\, Modica and S
 ouček in 1979 is whether Schauder theory is compatible with μ-ellipticit
 y. I will discuss sharp regularity results addressing this question in the
  maximal nonuniformity range\, together with insights into more general no
 nautonomous area-type integrals.\nThe talk is based on recent joint work w
 ith Cristiana De Filippis\, Peter Hästö\, and Mirco Piccinini.\n\nhttps:
 //math-events.uni-bonn.de/event/1710/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1710/
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