Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Adolfo Arroyo-Rabasa"'
Autor:
Adolfo Arroyo-Rabasa, Paolo Bonicatto
Publikováno v:
Calculus of Variations and Partial Differential Equations. 62
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af91454545e6eb0f798f4d2b50326910
https://doi.org/10.1007/s00526-022-02350-0
https://doi.org/10.1007/s00526-022-02350-0
Autor:
Adolfo Arroyo-Rabasa
Publikováno v:
Archive for Rational Mechanics and Analysis. 242:235-325
We give two characterizations, one for the class of generalized Young measures generated by $\mathcal A$-free measures, and one for the class generated by $\mathcal B$-gradient measures $\mathcal Bu$. Here, $\mathcal A$ and $\mathcal B$ are linear ho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57249d21f415edb8d87634c89535a91d
https://doi.org/10.1007/s00205-021-01683-y
https://doi.org/10.1007/s00205-021-01683-y
Publikováno v:
Geometric and Functional Analysis
We establish the rectifiability of measures satisfying a linear PDE constraint. The obtained rectifiability dimensions are optimal for many usual PDE operators, including all first-order systems and all second-order scalar operators. In particular, o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f416ca521289bf51ac3db08df4660ea3
https://doi.org/10.1007/s00039-019-00497-1
https://doi.org/10.1007/s00039-019-00497-1
Autor:
Raphael Winter, Adolfo Arroyo-Rabasa
We prove that the Debye screening length emerges in a spatially homogeneous plasma described by the nonlinear Vlasov-Poisson equation interacting with a point charge. While screened stationary states as well as the time-dependent problem are well-stu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97ff3ade647ecfde912d527b7d693aba
https://hal.archives-ouvertes.fr/hal-03036760
https://hal.archives-ouvertes.fr/hal-03036760
Autor:
Adolfo Arroyo-Rabasa
Publikováno v:
Proceedings of the American Mathematical Society
We give a simple criterion on the set of probability tangent measures $\mathrm{Tan}(\mu,x)$ of a positive Radon measure $\mu$, which yields lower bounds on the Hausdorff dimension of $\mu$. As an application, we give an elementary and purely algebrai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dda7066381ef99f6ed85130182fd38a7
Publikováno v:
Advances in Calculus of Variations
We show general lower semicontinuity and relaxation theorems for linear-growth integral functionals defined on vector measures that satisfy linear PDE side constraints (of arbitrary order). These results generalize several known lower semicontinuity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3262294d31d80db1419d2d87527d4508
http://arxiv.org/abs/1701.02230
http://arxiv.org/abs/1701.02230
Autor:
Adolfo Arroyo-Rabasa
We present a way to study a wide class of optimal design problems with a perimeter penalization. More precisely, we address existence and regularity properties of saddle points of energies of the form $$ (u,A) \quad \mapsto \quad \int_\Omega 2fu \; \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89a11e63d1884ff5de4fc155f8624071
Autor:
Adolfo Arroyo-Rabasa
We give necessary and sufficient conditions for minimality of generalized minimizers for linear-growth functionals of the form \[ \mathcal F[u] := \int_\Omega f(x,u(x)) \, \text{d}x, \qquad u:\Omega \subset \mathbb R^N\to \mathbb R^d, \] where $u$ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1af8d07cf804cd30b7c27539524163a5
Publikováno v:
Scopus-Elsevier
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis
This paper is devoted to the construction of generalized multiscale Young measures, which are the extension of Pedregal's multiscale Young measures [Trans. Amer. Math. Soc., 358 (2006), pp. 591--60...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::777f2096e4ea2cc8533d11ecdd51e0fb