Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Carlo Mantegazza"'
Autor:
Riccardo Benedetti, Carlo Mantegazza
Publikováno v:
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 102, Iss 2, p SA1 (2024)
In questo lavoro intendiamo presentare, almeno in parte, l’imponente intreccio di idee, tecniche e concetti che si è sviluppato intorno alla congettura di Poincaré, dalla sua formulazione agli inizi del secolo scorso fino alla soluzione data da G
Externí odkaz:
https://doaj.org/article/e993f802755d40c9873e7a50e639dd72
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 1, Pp 1-15 (2023)
We derive a matrix version of Li & Yau–type estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative sectional curvatures and parallel Ricci tensor, similarly to what R. Hamilton did in [5] for the stan
Externí odkaz:
https://doaj.org/article/4335fe990f314764b037fcd9e8f0406e
Publikováno v:
Mathematics in Engineering, Vol 4, Iss 6, Pp 1-104 (2022)
In this survey we present the state of the art about the asymptotic behavior and stability of the modified Mullins–Sekerka flow and the surface diffusion flow of smooth sets, mainly due to E. Acerbi, N. Fusco, V. Julin and M. Morini. First we discu
Externí odkaz:
https://doaj.org/article/94d54c76234d45879ea9af857a4bf65e
Publikováno v:
Mathematics in Engineering, Vol 4, Iss 1, Pp 1-15 (2022)
We show a triviality result for "pointwise" monotone in time, bounded "eternal" solutions of the semilinear heat equation $ \begin{equation*} u_{t} = \Delta u + |u|^{p} \end{equation*} $ on complete Riemannian manifolds of dimension $ n \geq 5 $ with
Externí odkaz:
https://doaj.org/article/fd89ba2ef6094591a24359db3256d5f1
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2022:189-221
The motion by curvature of networks is the generalization to finite union of curves of the curve shortening flow. This evolution has several peculiar features, mainly due to the presence of junctions where the curves meet. In this paper we show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93bdcf1159e5bfe094d0b7c27e3e3ed9
https://doi.org/10.1515/crelle-2022-0055
https://doi.org/10.1515/crelle-2022-0055
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 202:827-850
We derive an adaptation of Li and Yau estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We then apply these estimates to obtain a Harnack inequality and to discuss monotonicity, conve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cdca4e94a745dff3366533bbf9e4c30
https://doi.org/10.1007/s10231-022-01261-3
https://doi.org/10.1007/s10231-022-01261-3
Autor:
Carlo Mantegazza
Publikováno v:
Proceedings of the American Mathematical Society. 150:1745-1748
We show by an elementary argument that the second fundamental form of a connected, totally umbilical hypersurface of class C 2 C^2 is a constant multiple of the metric tensor. It follows that the hypersurface is smooth and it is either a piece of a h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a87f9527ba834ef2b2626223516253c5
https://doi.org/10.1090/proc/15804
https://doi.org/10.1090/proc/15804
Publikováno v:
Mathematics in Engineering, Vol 4, Iss 1, Pp 1-15 (2022)
We show a triviality result for "pointwise" monotone in time, bounded "eternal" solutions of the semilinear heat equation $ \begin{equation*} u_{t} = \Delta u + |u|^{p} \end{equation*} $ on complete Riemannian manifolds of dimension $ n \geq 5 $ with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e971648eee05d912ce1c2c599fa81aa4
https://doi.org/10.3934/mine.2022002
https://doi.org/10.3934/mine.2022002
In this note, our aim is to show that families of smooth hypersurfaces of $\mathbb R^{n+1}$ which are all $C^1$--close enough to a fixed compact, embedded one, have uniformly bounded constants in some relevant inequalities for mathematical analysis,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7f77c91228d7f0f6e16d19c4c13adc8
Autor:
Carlo Mantegazza
Publikováno v:
Università degli Studi di Napoli Federico II
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d7f173c9bec03cfe1311465d18cbd69
https://doi.org/10.4171/rsmup/73
https://doi.org/10.4171/rsmup/73