Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Marco Pozzetta"'
Autor:
Matteo Novaga, Marco Pozzetta
Publikováno v:
Mathematics in Engineering, Vol 2, Iss 2, Pp 527-556 (2020)
For a given family of smooth closed curves $γ^1,...,γ^\alpha⊂\mathbb{R}^3$ we consider the problem of finding an elastic connected compact surface $M$ with boundary $γ=γ^1\cup...\cupγ^\alpha$. This is realized by minimizing the Willmore energy
Externí odkaz:
https://doaj.org/article/d21f2b2dec684397a1e5b2d1d24e9539
Publikováno v:
Calculus of Variations and Partial Differential Equations. 61
In this paper we provide new existence results for isoperimetric sets of large volume in Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth. We find sufficient conditions for their existence in terms of the geometry at
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1410f138c8ca2d8928256292f6a0e81
https://doi.org/10.1007/s00526-022-02193-9
https://doi.org/10.1007/s00526-022-02193-9
Publikováno v:
Advances in Calculus of Variations
Advances in Calculus of Variations, In press
Advances in Calculus of Variations, In press
We introduce a notion of connected perimeter for planar sets defined as the lower semi-continuous envelope of perimeters of approximating sets which are measure-theoretically connected. A companion notion of simply connected perimeter is also studied
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8bae26d081a22db76bfb011f52c25f9
https://hal.archives-ouvertes.fr/hal-02162832v3/document
https://hal.archives-ouvertes.fr/hal-02162832v3/document
In this paper we study regularity and topological properties of volume constrained minimizers of quasi-perimeters in $\sf RCD$ spaces where the reference measure is the Hausdorff measure. A quasi-perimeter is a functional given by the sum of the usua
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91e35614c36dbf2b8e134e95f0d11211
Autor:
Carlo Mantegazza, Marco Pozzetta
We define the elastic energy of smooth immersed closed curves in $${\mathbb {R}}^n$$ as the sum of the length and the $$L^2$$ -norm of the curvature, with respect to the length measure. We prove that the $$L^2$$ -gradient flow of this energy smoothly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b2572bf444e6f7c296a4b5395f9ed0f
http://arxiv.org/abs/2007.16093
http://arxiv.org/abs/2007.16093
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 28:57
We establish a structure theorem for minimizing sequences for the isoperimetric problem on noncompact $\mathsf{RCD}(K,N)$ spaces $(X,\mathsf{d},\mathcal{H}^N)$. Under the sole (necessary) assumption that the measure of unit balls is uniformly bounded
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57e96a6e4a1b87c14b3a27110b26187f
https://doi.org/10.1051/cocv/2022052
https://doi.org/10.1051/cocv/2022052
We collect and present in a unified way several results in recent years about the elastic flow of curves and networks, trying to draw the state of the art of the subject. In particular, we give a complete proof of global existence and smooth converge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a0bc92742cacae9cfd8f7d4e77d9e57
Autor:
Marco Pozzetta
For a given p ∈ [ 2 , + ∞ ) , we define the p -elastic energy E of a closed curve γ : S 1 → M immersed in a complete Riemannian manifold ( M , g ) as the sum of the length of the curve and the L p -norm of its curvature (with respect to the le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d3d7bf81093ec88945afd6debc0f380
Autor:
Marco Pozzetta, Matteo Novaga
Publikováno v:
Mathematics in Engineering, Vol 2, Iss 2, Pp 527-556 (2020)
For a given family of smooth closed curves $\gamma^1,...,\gamma^\alpha\subset\mathbb{R}^3$ we consider the problem of finding an elastic \emph{connected} compact surface $M$ with boundary $\gamma=\gamma^1\cup...\cup\gamma^\alpha$. This is realized by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89709cf77cb072ee92181f242b43e89d
Publikováno v:
Journal of Geometric Analysis
We minimize a linear combination of the length and the $$L^2$$ L 2 -norm of the curvature among networks in $$\mathbb {R}^d$$ R d belonging to a given class determined by the number of curves, the order of the junctions, and the angles between curves
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07aa7d2f876dd08f4d86a855d5e24bbf