Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Florin Catrina"'
Autor:
Florin Catrina
Publikováno v:
Electronic Journal of Differential Equations, Vol 2006, Iss 146, Pp 1-10 (2006)
In this note we discuss the existence and symmetry breaking of least energy solutions for certain weighted elliptic equations in the unit ball in $mathbb{R}^N$, with zero Dirichlet boundary conditions. We prove a multiplicity result, which answers on
Externí odkaz:
https://doaj.org/article/ce95f564bff846f9a422150040e9b08c
Autor:
Florin Catrina, Zhi-Qiang Wang
Publikováno v:
Electronic Journal of Differential Equations, Vol Conference, Iss 06, Pp 89-99 (2001)
We study the one-dimensional version of the Euler-Lagrange equation associated to finding the best constant in the Caffarelli-Kohn-Nirenberg inequalities. We give a complete description of all non-negative solutions which exist in a suitable weighted
Externí odkaz:
https://doaj.org/article/5a1be433e2a346ebb82ba83645d67c51
Autor:
Florin Catrina, Aurel I. Stan
A definition of $d$--dimensional $n$--Meixner random vectors is given first. This definition involves the commutators of their semi--quantum operators. After that we will focus on the $1$-Meixner random vectors, and derive a system of $d$ partial dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1aeadf71e58234f7d18f505d28ec4ad
http://arxiv.org/abs/2007.02174
http://arxiv.org/abs/2007.02174
Autor:
Florin Catrina, Brian Zilli
Publikováno v:
Involve 13, no. 5 (2020), 803-822
We first describe an observation based on an analysis of data regarding the outcomes of decisions in cases considered by the United States Supreme Court. Based on this observation, we propose a simple model aiming toward producing an objective notion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e055f1d01bfceca10d7321c62c08a5f
https://projecteuclid.org/euclid.involve/1608606189
https://projecteuclid.org/euclid.involve/1608606189
Autor:
Florin Catrina, Aurel I. Stan
Publikováno v:
Journal of Mathematical Analysis and Applications. 464:1260-1274
A sharp inequality about the L p -norms of the Wick product generated by a Gamma probability distribution whose mean is half of a positive integer is presented. In order to bound the Wick product, we first smoothen its factors by applying some second
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2b835c77bd01652151c2758009533e5
https://doi.org/10.1016/j.jmaa.2018.04.054
https://doi.org/10.1016/j.jmaa.2018.04.054
Autor:
Florin Catrina, Zhi-Qiang Wang
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 119:398-418
We describe the diagonal of the Green’s Function for some Sturm–Liouville operators, as it was introduced and studied in a number of papers already, and we discuss a number of applications that depend on its properties. Semilinear elliptic PDE’
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee51ac13f0969976b9ea2b99d758b785
https://doi.org/10.1016/j.na.2014.10.029
https://doi.org/10.1016/j.na.2014.10.029
Autor:
Florin Catrina, Mikhail I. Ostrovskii
The main result: for every sequence $\{\omega_m\}_{m=1}^\infty$ of positive numbers ($\omega_m>0)$ there exists an isometric embedding $F:[0,1]\to L_1[0,1]$ which is nowhere differentiable, but for each $t\in [0,1]$ the image $F_t$ is infinitely diff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aba0673d152db35e8bd204158f300f8b
Autor:
Florin Catrina
Publikováno v:
Advances in Nonlinear Analysis, Vol 3, Iss 1, Pp 1-13 (2014)
This article completes the picture in the study of positive radial solutions in the function space 𝒟 1 , 2 ( ℝ N ) ∩ L 2 ( ℝ N , | x | - α d x ) ∩ L p ( ℝ N ) ${{\mathcal {D}^{1,2}({\mathbb {R}^N}) \cap L^2({{\mathbb {R}^N}, | x |^{-\al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d53ebae376fe2d9c6340a5b1e6fc7a4e
https://doi.org/10.1515/anona-2013-0023
https://doi.org/10.1515/anona-2013-0023
Autor:
Florin Catrina, Aurel I. Stan
Publikováno v:
Infinite Dimensional Analysis, Quantum Probability and Related Topics. 21:1850004
An integral representation of the Wick product for Gamma distributed random variables, with mean greater than [Formula: see text], is presented first. We use this integral representation to prove a Hölder inequality for norms of Gamma Wick products.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa01609276bbedd0a2bfd470cf3fbbdb
https://doi.org/10.1142/s0219025718500042
https://doi.org/10.1142/s0219025718500042
Autor:
Florin Catrina, David G. Costa
Publikováno v:
Journal of Differential Equations. 246:164-182
In this paper we study a class of Caffarelli–Kohn–Nirenberg inequalities without restricting the pertinent parameters. In particular, we determine the values of the corresponding optimal constants and the functions that achieve them, i.e., minimi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d6995b11fb39d6fbacf4bf22537e9a5
https://doi.org/10.1016/j.jde.2008.04.022
https://doi.org/10.1016/j.jde.2008.04.022