Speaker
Chiara Leone
(University of Naples Federico II)
Description
Optimal local Lipschitz regularity for scalar almost minimizers of Alt-Caffarelli-type functionals
$$
\mathcal{F}({v}; \Omega) = \int_\Omega \varphi(x,\left|\nabla v(x) \right|)+ \lambda \chi_{\{{v}>0\}} (x) \,dx,
$$
with growth function $\varphi$ a generalized Orlicz function, is established.
The results presented in this talk have been obtained in collaboration with Giovanni Scilla (Napoli), Francesco Solombrino (Lecce), and Anna Verde (Napoli).
Author
Chiara Leone
(University of Naples Federico II)
Co-authors
Prof.
Giovanni Scilla
(University of Naples Federico II)
Prof.
Francesco Solombrino
(University of Salento)
Prof.
Anna Verde
(University of Naples Federico II)