Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Franco Tomarelli"'
Publikováno v:
Mathematics in Engineering, Vol 6, Iss 2, Pp 261-304 (2024)
An energy functional for the obstacle problem in linear elasticity is obtained as a variational limit of nonlinear elastic energy functionals describing a material body subject to pure traction load under a unilateral constraint representing the rigi
Externí odkaz:
https://doaj.org/article/0897bd8cb4174c74be3cb4ac58c904b3
Autor:
Antonio Leaci, Franco Tomarelli
Publikováno v:
Axioms, Vol 11, Iss 1, p 30 (2022)
We establish some properties of the bilateral Riemann–Liouville fractional derivative Ds. We set the notation, and study the associated Sobolev spaces of fractional order s, denoted by Ws,1(a,b), and the fractional bounded variation spaces of fract
Externí odkaz:
https://doaj.org/article/b0ee1aea0e0d44f3bc40a8e03e689e43
Autor:
Antonio Leaci, Franco Tomarelli
Publikováno v:
Advances in Continuous and Discrete Models. 2023
We introduce and study a variational model for signal and image analysis based on Riemann–Liouville fractional derivatives. Both the one-dimensional and two-dimensional cases are studied. The model exploits a quadratic fitting data term together wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::244d161dba98543a2f1867c711fdb5d5
https://doi.org/10.1186/s13662-023-03762-8
https://doi.org/10.1186/s13662-023-03762-8
A new energy functional for pure traction problems in elasticity has been deduced in [23] as the variational limit of nonlinear elastic energy functional for a material body subject to an equilibrated force field: a sort of Gamma limit with respect t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f22fdd2627f0669de67d1e8ca367ddf
http://hdl.handle.net/11589/191030
http://hdl.handle.net/11589/191030
A limit elastic energy for the pure traction problem is derived from re-scaled nonlinear energies of a hyperelastic material body subject to an equilibrated force field. We prove that the strains of minimizing sequences associated to re-scaled nonlin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::835d81a21cca6e1d4342b9898fd7f1a3
http://hdl.handle.net/11567/957975
http://hdl.handle.net/11567/957975
Some variational problems for a Foppl-von Karman plate subject to general equilibrated loads are studied. The existence of global minimizers is proved under the assumption that the out-of-plane displacement fulfils homogeneous Dirichlet condition on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91efcc57a2e2264e3a764157e7f917ee
http://hdl.handle.net/11567/886984
http://hdl.handle.net/11567/886984
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 96(1):58-87
We show Euler equations fulfilled by strong minimizers of Blake and Zisserman functional. We prove an Almansi-type decomposition and provide explicit coefficients of asymptotic expansion for bi-harmonic functions in a disk with a cut from center to b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1e67ea60a0d7ab98a115d4cbe11857a
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 31:1129-1150
We prove density estimates and elimination properties for minimizing triplets of functionals which are related to contour detection in image segmentation and depend on free discontinuities, free gradient discontinuities and second order derivatives.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63e6529d430b4d035f4b4efcf74cd0c6
https://doi.org/10.3934/dcds.2011.31.1129
https://doi.org/10.3934/dcds.2011.31.1129
Publikováno v:
Fractional Calculus & Applied Analysis
Fractional Calculus & Applied Analysis, 2017, ⟨10.1515/fca-2017-0049⟩
Fractional Calculus & Applied Analysis, 2017, ⟨10.1515/fca-2017-0049⟩
International audience; We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fractional Sobolev spaces, the space BV of functions of bounded variation, whose derivatives are not functions but measures andthe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::110707a3cb06141c7ce6407afaf1b8ec
https://hal.archives-ouvertes.fr/hal-01287725
https://hal.archives-ouvertes.fr/hal-01287725
Autor:
Danilo Percivale, Franco Tomarelli
Publikováno v:
Springer INdAM Series ISBN: 9783319644882
We show that minimizers of free discontinuity problems with energy dependent on jump integrals and Dirichlet boundary conditions are smooth provided a smallness condition is imposed on data. We examine in detail two examples: the elastic-plastic beam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2279fb182b3de035b74a267037928735
https://doi.org/10.1007/978-3-319-64489-9_17
https://doi.org/10.1007/978-3-319-64489-9_17