Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Francesco Chiacchio"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 224,, Pp 1-4 (2014)
Let $\Omega\subset \mathbb{R}^2$ be a bounded domain with the same area as the unit disk $B_1$ and let $$ E_\varepsilon(u,\Omega)=\frac{1}{2}\int_\Omega |\nabla u|^2\,dx +\frac{1}{4\varepsilon^2}\int_\Omega (|u|^2-1)^2\,dx $$ be the Ginzburg-La
Externí odkaz:
https://doaj.org/article/0a759ff50224487e9965b94fe185c441
Autor:
Francesco Chiacchio
Publikováno v:
Le Matematiche, Vol 53, Iss 2, Pp 293-304 (1998)
See directly the article.
Externí odkaz:
https://doaj.org/article/0e3fbcafc621483cae49bd368ca377a7
In this paper, using the Chambers isoperimetric inequality, we introduce the notion of weighted rearrangement of a function associated to the measure $f dx$, where $f(x)=e^{g(|x|)}$ for $x \in \mathbb{R}^n}$, with $g$ smooth, convex and even. Then we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3658::587e9fd34b04adaea42d97dc9341295a
http://hdl.handle.net/10447/568762
http://hdl.handle.net/10447/568762
Publikováno v:
Potential Analysis.
In this paper we provide a comparison result between the solutions to the torsion problem for the Hermite operator with Robin boundary conditions and the one of a suitable symmetrized problem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01e58e09e1d50bd9cfde20dd2a69c294
https://doi.org/10.1007/s11118-022-09995-8
https://doi.org/10.1007/s11118-022-09995-8
Publikováno v:
Journal of Differential Equations. 267:6831-6871
We study a class of isoperimetric problems on $\mathbb{R}^{N}_{+} $ where the densities of the weighted volume and weighted perimeter are given by two different non-radial functions of the type $|x|^k x_N^\alpha$. Our results imply some sharp functio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb0406621653b5d42490e88c9ad30043
https://doi.org/10.1016/j.jde.2019.07.013
https://doi.org/10.1016/j.jde.2019.07.013
Autor:
David Lodge, Mary Everett, Olivier De Bandt, Georgios Georgiadis, Povilas Lastauskas, Juan Carluccio, Susana Parrága, Pietro Cova, Maria Grazia Attinasi, Mirco Balatti Mozzanica, Celestino Giron, Biswajit Banerjee, Vanessa Gunnella, Ursel Baumann, Yannick Hemmerlé, Jean-Charles Bricongne, Axel Jochem, Francesco Chiacchio, Kristiina Karjanlahti, Ivan Kataryniuk, Davide Del Giudice, Iikka Korhonen, Clara De Luigi, Markus Kühnlenz, Dimitra Dimitropoulou, Vincent Labhard, Virginia Di Nino, Helena Le Mezo, Ettore Dorrucci, Eric Eichler, Nilsson Mattias, Martin Feldkircher, Chiara Osbat, Thomas Reininger, Sebastian Stumpner, Ilona Van Schaik, Martin Schmitz, Helmut Wacket, Roberta Serafini, Tina Zumer, Daniele Siena
Publikováno v:
SSRN Electronic Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59943de148ffe718adf589506e6f5008
https://doi.org/10.2139/ssrn.3928284
https://doi.org/10.2139/ssrn.3928284
We show, using symmetrization techniques, that it is possible to prove a comparison principle (we are mainly focused on L 1 comparison) between solutions to an elliptic partial differential equation on a smooth bounded set Ω with a rather general bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c8a81e211f58c9c0cc9253152b506b6
http://arxiv.org/abs/2009.04320
http://arxiv.org/abs/2009.04320
Publikováno v:
Applicable Analysis. 98:1935-1945
We consider a class of isoperimetric problems on $\mathbb{R}^{N}_{+} $ where the volume and the area element carry two different weights of the type $|x|^lx_N^\alpha$. We solve them in a special case while a more detailed study is contained in \cite{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef0584ea96469c07ea042d6ed8fa0c39
https://doi.org/10.1080/00036811.2018.1506106
https://doi.org/10.1080/00036811.2018.1506106
We solve a class of isoperimetric problems on ℝ+2 with respect to monomial weights. Let α and β be real numbers such that 0 ≤ α < β + 1, β ≤ 2α. We show that, among all smooth sets Ω in ℝ+2 with fixed weighted measure ∬Ωyβdxdy, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6dd979585d5af8e8e7bc50e5f312ec9
http://arxiv.org/abs/1907.03659
http://arxiv.org/abs/1907.03659
Autor:
Ettore Dorrucci, Vanessa Gunnella, Alexander Al-Haschimi, Konstantins Benkovskis, Francesco Chiacchio, Francois de Soyres, Benedetta Di Lupidio, Michael Fidora, Sebastian Franco-Bedoya, Erik Frohm, Katerina Gradeva, Paloma Lopez-Garcia, Gerrit B. Koester, Christiane Nickel, Chiara Osbat, Elena Pavlova, Martin Schmitz, Joachim Schroth, Frauke Skudelny, Alex Tagliabracci, Elena Vaccarino, Julia Wörz
Publikováno v:
SSRN Electronic Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::405db0a12e8b3334db553f8b30d5e35a
https://doi.org/10.2139/ssrn.3381697
https://doi.org/10.2139/ssrn.3381697