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Let $f \colon \Omega \to \Omega' $ be a Sobolev mapping of finite distortion between planar domains $\Omega $ and $\Omega'$, satisfying the $(INV)$ condition and coinciding with a homeomorphism near $\partial\Omega $. We show that $f$ admits a genera
Externí odkaz:
http://arxiv.org/abs/2412.18976
Akademický článek
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This paper investigates the differentiability of weak limits of bi-Sobolev homeomorphisms. Given $p>n-1$, consider a sequence of homeomorphisms $f_k$ with positive Jacobians $J_{f_k} >0$ almost everywhere and $\sup_k(\|f_{k}\|_{W^{1,n-1}} + \|f_{k}^{
Externí odkaz:
http://arxiv.org/abs/2302.07578
Let $\Omega$, $\Omega'\subset\mathbb{R}^n$ be bounded domains and let $f_m\colon\Omega\to\Omega'$ be a sequence of homeomorphisms with positive Jacobians $J_{f_m} >0$ a.e. and prescribed Dirichlet boundary data. Let all $f_m$ satisfy the Lusin (N) co
Externí odkaz:
http://arxiv.org/abs/2212.06452
Autor:
Klara Horackova, Petra Zemankova, Petr Nehasil, Michal Vocka, Milena Hovhannisyan, Katerina Matejkova, Marketa Janatova, Marta Cerna, Petra Kleiblova, Sandra Jelinkova, Barbora Stastna, Pavel Just, Tatana Dolezalova, Barbora Nemcova, Marketa Urbanova, Monika Koudova, Jana Hazova, Eva Machackova, Lenka Foretova, Viktor Stranecky, Michal Zikan, Zdenek Kleibl, Jana Soukupova
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-12 (2024)
Abstract The subset of ovarian cancer (OC) diagnosed ≤ 30yo represents a distinct subgroup exhibiting disparities from late-onset OC in many aspects, including indefinite germline cancer predisposition. We performed DNA/RNA-WES with HLA-typing, PRS
Externí odkaz:
https://doaj.org/article/ad5550950aed42c6b56e4a609805f4e6
Autor:
P. J. Zellner, M. Claus, T. Dolezalova, R. O. Balogun, J. Eberle, H. Hodam, R. Eckardt, S. Meißl, A. Jacob, A. Anghelea
Publikováno v:
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XLVIII-4-W12-2024, Pp 157-162 (2024)
The "Cubes and Clouds" Massive Open Online Course (MOOC) addresses the growing challenges and opportunities in Earth Observation (EO) data analysis posed by the exponential growth of satellite missions and data volumes. This course introduces cloud-n
Externí odkaz:
https://doaj.org/article/a2fccf61633745b4ac0891cf121b40fe
We study continuity properties of Sobolev mappings $f \in W_{\mathrm{loc}}^{1,n} (\Omega, \mathbb{R}^n)$, $n \ge 2$, that satisfy the following generalized finite distortion inequality \[\lvert Df(x)\rvert^n \leq K(x) J_f(x) + \Sigma (x)\] for almost
Externí odkaz:
http://arxiv.org/abs/2210.14141
Autor:
Jana Soukupova, Barbora Stastna, Madiha Kanwal, Jan Hojny, Petra Zemankova, Marianna Borecka, Leona Cerna, Marta Cerna, Monika Cerna, Vaclava Curtisova, Tatana Dolezalova, Petra Duskova, Lenka Foretova, Ondrej Havranek, Klara Horackova, Milena Hovhannisyan, Lucie Hruskova, Stepan Chvojka, Marketa Janatova, Maria Janikova, Sandra Jelinkova, Pavel Just, Marta Kalousova, Petra Kleiblova, Marcela Kosarova, Monika Koudova, Jan Kral, Michaela Krausova, Vera Krutilkova, Eva Machackova, Katerina Matejkova, Renata Michalovska, Petr Nehasil, Barbora Nemcova, Jan Novotny, Matous Palek, Pavel Pesek, Marketa Safarikova, Ondrej Scheinost, Drahomira Springer, Lenka Stolarova, Viktor Stranecky, Ivan Subrt, Spiros Tavandzis, Eva Tureckova, Kamila Vesela, Zdenka Vlckova, Michal Vocka, Tomas Zima, Libor Macurek, Zdenek Kleibl, the CZECANCA consortium
Publikováno v:
Cancer Medicine, Vol 13, Iss 16, Pp n/a-n/a (2024)
Abstract Background Monoallelic germline pathogenic variants (GPVs) in five Fanconi anemia (FA) genes (BRCA1/FANCS, BRCA2/FANCD1, PALB2/FANCN, BRIP1/FANCJ, and RAD51C/FANCO) confer an increased risk of breast (BC) and/or ovarian (OC) cancer, but the
Externí odkaz:
https://doaj.org/article/a729e3f3d4b64ad89ec8fbe20e608bd3
Autor:
Patrick Kwan, Andreas Schulze-Bonhage, John Archer, Eugen Trinka, Aileen McGonigal, Fabrice Bartolomei, Piero Perucca, Andrew Neal, Sándor Beniczky, Akio Ikeda, Philippe Kahane, Samden Lhatoo, James Castellano, Benjamin Whatley, Alexandra Urban, Kristin Ikeda, Georg Zimmermann, Alexandra Astner-Rohracher, Alyssa Ho, Milan Brazdil, Melita Cacic Hribljan, Irena Dolezalova, Martin Ejler Fabricius, Mercedes Garcés-Sanchez, Kahina Hammam, Giridhar Kalamangalam, Gudrun Kalss, Mays Khweileh, Katsuya Kobayashi, Joshua Andrew Laing, Markus Leitinger, Julia Makhalova, Iona Mindruta, Mary Margaret Mizera, Irina Oane, Prachi Parikh, Francesca Pizzo, Rodrigo Rocamora, Philippe Ryvlin, Victoria San Antonio Arce, Stephan Schuele, Ana Suller Marti, Vincente Villanueva, Laura Vilella Bertran, Birgit Frauscher
Publikováno v:
BMJ Neurology Open, Vol 6, Iss 2 (2024)
Introduction Epilepsy surgery is the only curative treatment for patients with drug-resistant focal epilepsy. Stereoelectroencephalography (SEEG) is the gold standard to delineate the seizure-onset zone (SOZ). However, up to 40% of patients are subse
Externí odkaz:
https://doaj.org/article/8c53f0fa2e9047ff9eb1f51d468ed629
Let $\Omega,\Omega'\subset\mathbb{R}^3$ be Lipschitz domains, let $f_m:\Omega\to\Omega'$ be a sequence of homeomorphisms with prescribed Dirichlet boundary condition and $\sup_m \int_{\Omega}(|Df_m|^2+1/J^2_{f_m})<\infty$. Let $f$ be a weak limit of
Externí odkaz:
http://arxiv.org/abs/2112.08041