Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Flavia Giannetti"'
Autor:
Giorgio Stefani, Flavia Giannetti
Publikováno v:
Forum Mathematicum. 35:187-199
We prove a lower bound on the number of the convex components of a compact set with non-empty interior in ℝ n {\mathbb{R}^{n}} for all n ≥ 2 {n\geq 2} . Our result generalizes and improves the inequalities previously obtained in [M. Carozza, F. G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a75c2d7cd3165c6b7994a886a61d16b
https://doi.org/10.1515/forum-2022-0203
https://doi.org/10.1515/forum-2022-0203
Publikováno v:
Mathematische Nachrichten. 293:2082-2111
We consider weak solutions (Formula presented.) to stationary p-Stokes systems of the type (Formula presented.) in (Formula presented.), where the function (Formula presented.) satisfies p-growth conditions in ξ and depends Hölder continuously on x
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32123b03f93b8925d5663c8a74cb5d57
https://doi.org/10.1002/mana.201800519
https://doi.org/10.1002/mana.201800519
Autor:
Patrizia Di Gironimo, Flavia Giannetti
Publikováno v:
Banach Journal of Mathematical Analysis. 14:1670-1691
We deal with existence and regularity for weak solutions to Dirichlet problems of the type $$\begin{aligned} \left\{ \begin{array}{ll} - \mathrm{div} (A(x)Xu) +b(x)Xu + c(x)u=f\quad \hbox {in} \; \varOmega \\ \\ u=0 \quad \quad \hbox {on} \; \partial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb0332f490321dbf1f304febe508c1d7
https://doi.org/10.1007/s43037-020-00069-8
https://doi.org/10.1007/s43037-020-00069-8
Publikováno v:
Journal of Mathematical Analysis and Applications. 479:185-213
We investigate solutions to nonlinear elliptic Dirichlet problems of the type \[ \left\{\begin{array}{cl} - {\rm div} A(x,u,\nabla u)= \mu &\qquad \mathrm{ in}\qquad \Omega, u=0 &\qquad \mathrm{ on}\qquad \partial\Omega, \end{array}\right. \] where $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4bf98880dde97e6cef2699d51770162f
https://doi.org/10.1016/j.jmaa.2019.06.022
https://doi.org/10.1016/j.jmaa.2019.06.022
Publikováno v:
Forum Mathematicum. 31:1027-1050
We prove partial and full boundary Hölder continuity, under a suitable regularity on the boundary datum, of the minimizers of non-autonomous integral functionals of the type ∫ Ω Φ ( ( A i j α β ( x , u ) D i u α D
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e155b1c18f6de1b4268f862f3a2b4cf
https://doi.org/10.1515/forum-2019-0039
https://doi.org/10.1515/forum-2019-0039
Autor:
Flavia Giannetti, Alberto Fiorenza
We introduce a notion of modular with a corresponding modular function space in order to build a modular capacity theory. We give two different definitions of capacity, one of them of variational type, the other one through either the modular of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a76744f067b10f47408da48f13be098
http://hdl.handle.net/11588/811509
http://hdl.handle.net/11588/811509
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 150:419-451
We consider weak solutions $u:\Omega _T\to {\open R}^N$ to parabolic systems of the type $$u_t-{\rm div}\;a(x,t,Du) = 0\quad {\rm in}\;\Omega _T = \Omega \times (0,T),$$where the function a(x, t, ξ) satisfies (p, q)-growth conditions. We give an a p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0d754933ba6f79bd0efca5f22a072cf
https://doi.org/10.1017/prm.2018.63
https://doi.org/10.1017/prm.2018.63
Publikováno v:
Nonlinear Analysis. 177:254-269
We consider variational integral functionals ∫ Ω g ( x , u ( x ) , D u ( x ) ) d x , where Ω is a bounded open subset in R n and the integrand g ( x , s , ξ ) = f ( x , ξ ) + b ( x ) s is not subjected to any growth condition from above neither
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7da2f46ce8a89881d81538406d3adae8
https://doi.org/10.1016/j.na.2017.10.005
https://doi.org/10.1016/j.na.2017.10.005