Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Maria Rosaria Posteraro"'
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
Publikováno v:
Israel Journal of Mathematics. 233:297-310
In the present paper we prove some uniqueness results for weak solutions to a class of problems, whose prototype is $$\begin{cases}-\rm{div} & ((\varepsilon+|\triangledown{u}|^2)\frac{p-2}{2}\triangledown{u}\varphi)=f\varphi\;\;\;\;\;\rm{in}\;\;\Omeg
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{
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
We derive some anisotropic Sobolev inequalities in R n with a monomial weight in the general setting of rearrangement invariant spaces. Our starting point is to obtain an integral oscillation inequality in multiplicative form.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfef5fb980850ba89a7b2fb4deafd9e9
Autor:
Maria Rosaria Posteraro
Publikováno v:
The First International Conference on Symmetry.
We study a class of isoperimetric problems on RN with respect to weights that are powers of the distance to the origin. We consider different weights in the volume and in the perimeter. We investigate cases in which, among all smooth sets Ω in RN wi
Autor:
Filomena Feo, Maria Rosaria Posteraro
Publikováno v:
Asian J. Math. 17, no. 3 (2013), 569-582
We prove a logarithmic Sobolev trace inequality in a gaussian space and we study the trace operator in the weighted Sobolev space W^{1,p}(\Omega,\gamma) for sufficiently regular domain. We exhibit examples to show the sharpness of the results. Applic
Publikováno v:
Potential Analysis
Potential Analysis, Springer Verlag, 2017, 47 (1), pp.37-52. ⟨10.1007/s11118-016-9607-5⟩
Potential Analysis, 2017, 47 (1), pp.37-52. ⟨10.1007/s11118-016-9607-5⟩
Potential Analysis, Springer Verlag, 2017, 47 (1), pp.37-52. ⟨10.1007/s11118-016-9607-5⟩
Potential Analysis, 2017, 47 (1), pp.37-52. ⟨10.1007/s11118-016-9607-5⟩
This note consists of two parts. Firstly, we bound the deficit in the logarithmic Sobolev Inequality and in the Talagrand transport-entropy Inequality for the Gaussian measure, in any dimension, by means of a distance introduced by Bucur and Fragala.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9cceffe3b1cf03e77840ad10eaaba29
http://hdl.handle.net/11588/667387
http://hdl.handle.net/11588/667387
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. :219-234
In this paper we deal with blow-up solutions to p-Laplacian equations with a nonlinear gradient term. We prove comparison results for the solutions in terms of the solutions to suitable symmetrized problems defined in a ball. We analyze two cases whe
Publikováno v:
Communications in Computer and Information Science ISBN: 9783319259352
DATA (Revised Selected Papers)
DATA (Revised Selected Papers)
In this paper we propose a biologically inspired mathematical model to simulate the personalized interactions of users with cultural heritage objects. The main idea is to measure the interests of a spectator w.r.t. an artwork by means of a model able
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7de6093757c9c72ab03752ea0361e45
https://doi.org/10.1007/978-3-319-25936-9_10
https://doi.org/10.1007/978-3-319-25936-9_10