Care tutte, cari tutti,

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 https://www.dm.unipi.it/en/seminar/?id=66fbfdc342845121abe433d5 dal titolo “μ-ellipticity and nonautonomous integrals”. Trovate l'abstract qui sotto.

Vi ricordiamo inoltre il seminario https://www.dm.unipi.it/seminario/?id=67795b9a9ac406d089fa0d30 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 talkhttps://www.dm.unipi.it/en/seminar/?id=66fbfdc342845121abe433d5 is "μ-ellipticity and nonautonomous integrals". Please find the abstract below.

We reminkd you of the talkhttps://www.dm.unipi.it/seminario/?id=67795b9a9ac406d089fa0d30 of today at 5PM in Aula Magna, by Stefano Modena (Gran Sasso Science Institute).

See you soon, Ilaria Lucardesi and Luigi Forcella

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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).