Zobrazeno 1 - 10
of 8 244
pro vyhledávání: '"Vitolo A"'
Autor:
Vitolo Antonio
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 1182-1200 (2022)
We consider the Dirichlet problem for partial trace operators which include the smallest and the largest eigenvalue of the Hessian matrix. It is related to two-player zero-sum differential games. No Lipschitz regularity result is known for the soluti
Externí odkaz:
https://doaj.org/article/2e38da4aabcf49f6a479ae1232172254
Autor:
Mohammed, A., Vitolo, A.
Our purpose is to generalize some recent comparison principles for operators driven by p-Laplacian to a wide class of quasilinear equations including (p, q)-Laplacian. It turns out, in particular, that adding a q-Laplacian to p-Laplacian allows to we
Externí odkaz:
http://arxiv.org/abs/2409.05999
Autor:
Opanasenko, S., Vitolo, R.
Publikováno v:
Proc. R. Soc. A 480 (2024), 20240249
We study a class of nonlinear PDEs that admit the same bi-Hamiltonian structure as WDVV equations: a Ferapontov-type first-order Hamiltonian operator and a homogeneous third-order Hamiltonian operator in a canonical Doyle--Potemin form, which are com
Externí odkaz:
http://arxiv.org/abs/2407.17189
Autor:
Vitolo, Paola, Psaltakis, George, Tomlinson, Michael, Licciardo, Gian Domenico, Andreou, Andreas G.
This paper investigates the use of Large Language Models (LLMs) and natural language prompts to generate hardware description code, namely Verilog. Building on our prior work, we employ OpenAI's ChatGPT4 and natural language prompts to synthesize an
Externí odkaz:
http://arxiv.org/abs/2405.01419
Publikováno v:
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 39-64 (2018)
The primary objective of the paper is to study the existence, asymptotic boundary estimates and uniqueness of large solutions to fully nonlinear equations H(x,u,Du,D2u)=f(u)+h(x){H(x,u,Du,D^{2}u)=f(u)+h(x)} in bounded C2{C^{2}} domains
Externí odkaz:
https://doaj.org/article/cd46de97e7344d9bb7f97732ce591332
Autor:
Lorenzoni, P., Vitolo, R.
Publikováno v:
J. Phys. A: Math. Theor. 57 485202 (2024)
We study algebraic and projective geometric properties of Hamiltonian trios determined by a constant coefficient second-order operator and two first-order localizable operators of Ferapontov type. We show that first-order operators are determined by
Externí odkaz:
http://arxiv.org/abs/2311.13932
Autor:
Davide Antonio Mei, Giulio Francesco Romiti, Tommaso Bucci, Bernadette Corica, Jacopo Francesco Imberti, Niccolò Bonini, Marco Vitolo, Alena Shantsila, Hung-Fat Tse, Tze-Fan Chao, Giuseppe Boriani, Marco Proietti, Gregory Y. H. Lip
Publikováno v:
BMC Medicine, Vol 22, Iss 1, Pp 1-12 (2024)
Abstract Background In patients with atrial fibrillation (AF), the impact of peripheral artery disease (PAD) on oral anticoagulant (OAC) therapy use and the risk of outcomes remains unclear. Objective To analyse the epidemiology of PAD in a large coh
Externí odkaz:
https://doaj.org/article/ed85949225ce4a51891929441d1c8dcb
Autor:
Janaína Kehl de Castilhos, Paula Dal Bó Campagnolo, Silvana Almeida, Márcia Regina Vitolo, Vanessa Suñé Mattevi
Publikováno v:
DNA, Vol 4, Iss 3, Pp 276-284 (2024)
The global prevalence of obesity among adults, adolescents, and children has increased to alarming levels, making this disease a serious public health problem. The etiology of obesity is complex and multifactorial. Currently, epigenetic alterations a
Externí odkaz:
https://doaj.org/article/74a8e00f63f241c6aecd6b1208fad9b7
Publikováno v:
Nonlinearity 37 (2024), no. 2, paper no. 025001, 35 pages
We show that the equivalence classes of deformations of localizable semisimple Poisson pencils of hydrodynamic type with respect to the action of the Miura-reciprocal group contain a local representative and are in one-to-one correspondence with the
Externí odkaz:
http://arxiv.org/abs/2301.04475
Autor:
Ahmed Mohammed, Antonio Vitolo
Publikováno v:
Bulletin of Mathematical Sciences, Vol 14, Iss 03 (2024)
Our purpose is to generalize some recent comparison principles for operators driven by [Formula: see text]-Laplacian to a wide class of quasilinear equations including [Formula: see text]-Laplacian. It turns out, in particular, that adding a [Formula
Externí odkaz:
https://doaj.org/article/41931f37b5c6484ea884be6d0d98fd6c