Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications

Autor: Filomena Feo, Gabriella Paderni

Publikováno v: Electronic Journal of Differential Equations, Vol 2019, Iss 89,, Pp 1-15 (2019)

In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space. As an application we study a class of equations, whose anisotropic elliptic condition is given i

Externí odkaz: https://doaj.org/article/ce1705dd511d44adb7f53b6229702086

An eigenvalue problem for the anisotropic Φ-Laplacian

Autor: Filomena Feo, G. di Blasio, Angela Alberico

Publikováno v: Journal of differential equations
269 (2020): 4853–4883. doi:10.1016/j.jde.2020.03.049
info:cnr-pdr/source/autori:Angela Alberico, Giuseppina di Blasio, Filomena Feo/titolo:An eigenvalue problem for the anisotropic \Phi-Laplacian/doi:10.1016%2Fj.jde.2020.03.049/rivista:Journal of differential equations (Print)/anno:2020/pagina_da:4853/pagina_a:4883/intervallo_pagine:4853–4883/volume:269

We study an eigenvalue problem involving a fully anisotropic elliptic differential operator in arbitrary Orlicz-Sobolev spaces. The relevant equations are associated with constrained minimization problems for integral functionals depending on the gra

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9924558442e35fefd6652a556b77bf8c
https://doi.org/10.1016/j.jde.2020.03.049

Anisotropic p-Laplacian Evolution of Fast Diffusion type

Autor: Bruno Volzone, Filomena Feo, Juan Luis Vázquez

We study an anisotropic, possibly non-homogeneous version of the evolution $p$-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive $L^1$ to $L^\infty$ estim

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::167c4230bccc466e52b453f7be94e594

Nonlinear problems with unbounded coefficients and L1 data

Autor: Olivier Guibé, Filomena Feo

We consider a class of nonlinear elliptic problems whose prototype involves a coefficients matrix blowing up for a finite value m of the unknown u. Since datum is in $$L^1$$ , a suitable notion of renormalized solutions is introduced taking into acco

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e6a0fdafdf68b4078cabd4cb8cf1f91
http://hdl.handle.net/11367/86511

Uniqueness for elliptic problems with locally Lipschitz continuous dependence on the solution

Autor: Filomena Feo, Olivier Guibé

Publikováno v: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2017, 262 (3), pp.1777-1798. ⟨10.1016/j.jde.2016.10.029⟩

We consider a class of elliptic equations of the type − div ( a ( x , u , ∇ u ) ) = f − div g with Dirichlet boundary conditions and with f belonging to L 1 ( Ω ) . Using the framework of renormalized solutions we prove the uniqueness of a sol

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a91a692286f2ca2707b914b63e24ae36
https://doi.org/10.1016/j.jde.2016.10.029