Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Roberta Volpicelli"'
Publikováno v:
Mathematics, Vol 12, Iss 3, p 409 (2024)
In this paper, we prove an existence and uniqueness result for a class of Dirichlet boundary value problems whose model is −Δpu=β|∇u|q+c|u|p−2u+fin Ω,u=0on ∂Ω, where Ω is an open bounded subset of RN, N≥2, 1
Externí odkaz:
https://doaj.org/article/f2fc887d90b94122bf3e39366f1f5dc5
Autor:
Roberta Volpicelli, Bruno Volzone
Publikováno v:
Le Matematiche, Vol 62, Iss 1, Pp 135-156 (2007)
We consider the solution u of the Cauchy-Dirichlet problem for a class of linear parabolic equations in which the coefficient of the zero order term could have a singularity at the origin of the type 1/|x|^2 . We prove that u can be compared “in th
Externí odkaz:
https://doaj.org/article/3b378bcf00e54d629009408cecd0de56
We prove an improved version of the trace-Hardy inequality, so-called Kato's inequality, on the half-space in Finsler context. The resulting inequality extends the former one obtained by \cite{AFV} in Euclidean context. Also we discuss the validity o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97362df6940b53575686ae916d44cc93
http://arxiv.org/abs/1807.03497
http://arxiv.org/abs/1807.03497
Publikováno v:
Mathematische Nachrichten. 282:953-963
It is known that, if u is a real valued function on ℝN of bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation of u and that one of its polar uΠ (© 2009 WIL
Autor:
Roberta Volpicelli, Adele Ferone
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 53:929-949
We are interested in the polar factorization of a function f defined in an open bounded set Ω⊆ R N . It is well known that there exists a measure preserving map σ such that f=f ∗ ∘σ where f ∗ is the decreasing rearrangement of f . We prove
Autor:
Roberta Volpicelli, Adele Ferone
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 20:333-339
We give an alternative proof of a theorem by Brothers and Ziemer concerning extremal functions in the Polya–Szego rearrangements inequality for Dirichlet type integrals.
In this paper, we deal with a class of inequalities which interpolate the Kato inequality and the Hardy inequality in the half space. Starting from the classical Hardy’s inequality in the half space R + n = R n − 1 × ( 0 , ∞ ) , we show that,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8eff0cc153409939c55f407eeb30e6d9
http://hdl.handle.net/11591/203251
http://hdl.handle.net/11591/203251
In this paper we focus our attention to some Hardy type inequalities with a remainder term. In particular we find the best value of the constant $h$ for the inequalities $\int_{\Omega}|\nabla u|^2 dx \geq c \int_{\Omega}\frac{u^2}{|x|^2} dx+ h\int_{\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d29ad44bb05d4ec9385ffd0f6803383
http://hdl.handle.net/11367/14946
http://hdl.handle.net/11367/14946
Publikováno v:
Archive for Rational Mechanics and Analysis. 125:257-269
We prove an inequality concerning the decreasing rearrangement of functions. The inequality also provides a comparison result between the viscosity solution of a Cauchy problem for a Hamilton-Jacobi equation and the viscosity solution of a symmetrize