4 citations · 10 across the 14 of their papers we have counts for
17 papers
Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular convection term
Giuseppina di Blasio, Filomena Feo, Gabriella Zecca
We prove the existence and uniqueness of weak solutions to a class of anisotropic elliptic equations with coefficients of convection term belonging to some suitable Marcinkiewicz s…
Another approach to the equality case of the sharp logarithmic Sobolev inequality
Filomena Feo, Futoshi Takahashi
In this note, we characterize the equality case of the sharp -Euclidean logarithmic Sobolev inequality with monomial weights, exploiting the idea by Bobkov and Ledoux \cite{Bo…
Anisotropic p-Laplacian Evolution of Fast Diffusion type
Filomena Feo, Juan Luis Vazquez, Bruno Volzone
We study an anisotropic, possibly non-homogeneous version of the evolution -Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove…
Regularity results for local solutions to some anisotropic elliptic equations
Giuseppina di Blasio, Filomena Feo, Gabriella Zecca
In this paper we study a class of anisotropic equations with a lower order term whose coefficients lay in Marcinkiewicz spaces. We prove some regularity results for local solutions…
Anisotropic Fast Diffusion Equations
Filomena Feo, Juan Luis Vázquez, Bruno Volzone
We prove the existence of self-similar fundamental solutions (SSF) of the anisotropic porous medium equation in the suitable fast diffusion range. Each of such SSF solutions is uni…
Sobolev Anisotropic inequalities with monomial weights
Filomena Feo, Joaquim Martín, MRosaria Posteraro
We derive some anisotropic Sobolev inequalities in with a monomial weight in the general setting of rearrangement invariant spaces. Our starting point is to obtain…
Sharp Logarithmic Sobolev and related inequalities with monomial weights
Filomena Feo, Futoshi Takahashi
We derive a sharp Logarithmic Sobolev inequality with monomial weights starting from a sharp Sobolev inequality with monomial weights. Several related inequalities such as Shannon…
An eigenvalue problem for the anisotropic -Laplacian
A. Alberico, G. di Blasio, F. Feo
We study an eigenvalue problem involving a fully anisotropic elliptic differential operator in arbitrary Orlicz-Sobolev spaces. The relevant equations are associated with constrain…
Long-time asymptotics for nonlocal porous medium equation with absorption or convection
Filomena Feo, Yanghong Huang, Bruno Volzone
In this paper, the long-time asymptotic behaviours of nonlocal porous medium equations with absorption or convection are studied. In the parameter regimes when the nonlocal diffusi…
Estimates for fully anisotropic elliptic equations with a zero order term
Angela Alberico, Giuseppina di Blasio, Filomena Feo
Integral estimates for weak solutions to a class of Dirichlet problems for nonlinear, fully anisotropic, elliptic equations with a zero order term are obtained using symmetrization…
Comparison results for nonlinear anisotropic parabolic problems
Angela Alberico, Giuseppina di Blasio, Filomena Feo
Comparison results for solutions to the Dirichlet problems for a class of nonlinear, anisotropic parabolic equations are established. These results are obtained through a semi-disc…
A symmetrization result for a class of anisotropic elliptic problems
Angela Alberico, Giuseppina di Blasio, Filomena Feo
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.
A priori estimates for solutions to anisotropic elliptic problems via symmetrization
A. Alberico, G. di Blasio, F. Feo
We obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for…
Remark on the stability of Log-Sobolev inequality for Gaussian measure
Filomena Feo, Maria Rosaria Posteraro, Cyril Roberto
In this note we bound the deficit in the logarithmic Sobolev Inequality and in the Talagrand transport-entropy Inequality for the Gaussian measure, in any dimension, by mean of a d…
Uniqueness for some classes of parabolic problems
F. Feo
We prove some uniqueness results for weak solutions to some classes of parabolic Dirichlet problems.
Existence and uniqueness for nonlinear anisotropic elliptic equations
R. Di Nardo, F. Feo
We study the existence and uniqueness for weak solutions to some classes of anisotropic elliptic Dirichlet problems with data belonging to the natural dual space.
Uniqueness of renormalized solutions to nonlinear parabolic problems with lower order terms
Rosaria Di Nardo, Filomena Feo, Olivier Guibé
In this paper we prove uniqueness results for renormalized solutions to a class of nonlinear parabolic problems.