Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Matteo Focardi"'
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 9, Iss 1, Pp 20-40 (2018)
We prove a local boundedness result for local minimizers of a class of non-convex functionals, under special structure assumptions on the energy density. The proof follows the lines of that in [CupLeoMas17], where a similar result is proved under sli
Externí odkaz:
https://doaj.org/article/7441d3cd71b94529861379dc785c7794
Autor:
Matteo Focardi
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 3, Iss 1, Pp 14-32 (2012)
We review some issues about the regularity theory of local minimizers of the Mumford & Shah energy in the 2-dimensional case. In particular, we stress upon some recent results obtained in collaboration with Camillo De Lellis (Universität Zurich). On
Externí odkaz:
https://doaj.org/article/6e34157a0d614565a9e2c9843e0838f5
Autor:
Giovanna Andreucci, Matteo Focardi
Weiss' and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuity, respectively. Free boundary regularity for the corresponding classical obstacle problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d7c8209b3778889337264da8be63969
Publikováno v:
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 1008-1025 (2019)
In this paper we prove local Hölder continuity of vectorial local minimizers of special classes of integral functionals with rank-one and polyconvex integrands. The energy densities satisfy suitable structure assumptions and may have neither radial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::231f2449abdc49156300c83ce1c1761b
https://doi.org/10.1515/anona-2020-0039
https://doi.org/10.1515/anona-2020-0039
We provide a variational approximation of Ambrosio–Tortorelli type for brittle fracture energies of piecewise-rigid solids. Our result covers both the case of geometrically nonlinear elasticity and that of linearised elasticity.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4c9b92266ba3be9408e5dcb4e0e1592
Publikováno v:
Advances in Mechanics and Mathematics ISBN: 9783030900502
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications
We establish Weiss’ and Monneau’s type quasi-monotonicity formulas for quadratic energies having matrix of coefficients in a Sobolev space with summability exponent larger than the space dimension and provide an application to the corresponding f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2439dc58a241c37ca16dbefffa42cfe
https://doi.org/10.1007/978-3-030-90051-9_7
https://doi.org/10.1007/978-3-030-90051-9_7
Autor:
Matteo Focardi, Emanuele Spadaro
Publikováno v:
Geometric Measure Theory and Free Boundary Problems ISBN: 9783030657987
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f361a396dd4dea6a406ba9e82fb633f
https://doi.org/10.1007/978-3-030-65799-4_1
https://doi.org/10.1007/978-3-030-65799-4_1
Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with Bounded Deformation. Mild additional continuity assumptions are requir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24b1bf7a545f9556a25b237906bb364b
http://hdl.handle.net/2158/1200889
http://hdl.handle.net/2158/1200889
Autor:
Matteo Focardi, Emanuele Spadaro
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire
We prove the optimal regularity and a detailed analysis of the free boundary of the solutions to the thin obstacle problem for nonparametric minimal surfaces with flat obstacles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03db93dedd9eb74431b10c8c2d0b9557
http://hdl.handle.net/11573/1462162
http://hdl.handle.net/11573/1462162
We give an alternative proof of the regularity, up to the loose end, of minimizers, resp. critical points of the Mumford-Shah functional when they are sufficiently close to the cracktip, resp. they consist of a single arc terminating at an interior p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::067ab69c1e9e52b34d875d7d1d83dc1c