per il prossimo evento del
ciclo dei Seminari di Analisi, giovedì 23 gennaio alle
17 in Aula Magna, avremo
il piacere di ascoltare Filomena
De Filippis (Università di Parma), che
terrà un seminario dal
titolo “μ-ellipticity and nonautonomous integrals”.
Trovate l'abstract qui sotto.
Vi ricordiamo inoltre il seminario di
oggi pomeriggio alle
17 in Aula Magna di Stefano Modena (Gran
Sasso Science Institute).
A
presto,
Ilaria
Lucardesi e Luigi Forcella
-----------------------------------
Dear
all,
on Thursday January 23rd at 5PM in Aula
Magna, for
the Mathematical Analysis Seminar, we will have the pleasure of listening to Filomena
De Filippis (Università di Parma). The
title of the talk is
"μ-ellipticity and nonautonomous integrals".
Please find the abstract below.
We reminkd you of the
talk of
today
at 5PM in Aula Magna, by Stefano
Modena (Gran Sasso Science Institute).
See
you soon,
Ilaria
Lucardesi and Luigi Forcella
-----------------------------------
Speaker: Filomena
De Filippis (Università di Parma)
Title: μ-ellipticity
and nonautonomous integrals
Abstract: µ-ellipticity
describes certain degenerate forms of ellipticity typical of convex integrals at linear or nearly linear growth, such as the area integral or the iterated logarithmic model. The regularity of solutions to autonomous or totally differentiable problems is classical
after Bombieri, De Giorgi and Miranda, Ladyzhenskaya and Ural’tseva and Frehse and Seregin. The anisotropic case is a later achievement of Bildhauer, Fuchs and Mingione, Beck and Schmidt and Gmeineder and Kristensen. However, all the approaches developed so
far break down in presence of nondifferentiable ingredients. In particular, Schauder theory for certain significant anisotropic, nonautonomous functionals with Hölder continuous coefficients was only recently obtained by C. De Filippis and Mingione. We will
see the validity of Schauder theory for anisotropic problems whose growth is arbitrarily close to linear within the maximal nonuniformity range, and discuss sharp results and insights on more general nonautonomous area type integrals. From recent, joint work
with Cristiana De Filippis (Parma) and Mirco Piccinini (Pisa).