Lipschitz continuity for energy integrals with ellipticity conditions at infinity - Michela Eleuteri (Università di Modena e Reggio Emilia)

Dettagli dell'evento


dalle 12:00 alle 12:00


Aula 2 - Dipartimento di Matematica e Informatica

Persona di riferimento

Francesca Prinari

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In the general vector-valued case, we present some recent regularity results
obtained in cooperation with P. Marcellini and E. Mascolo. More precisely
we show the Lipschitz continuity of local minimizers to some integrals of
the Calculus of Variations where the Lagrangian has the form g(x, |Du|),
under some suitable p,q-growth conditions. We prove our results only for
large values of the gradient and without further structure conditions on the
integrand. We apply the regularity results to weak solutions to nonlinear
elliptic systems and to the case of some functionals with variable exponent.
We will open the seminar with a very general introduction concerning regularity
results for equations and systems in divergence form, in the framework of standard and nonstandard conditions.
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