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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…
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…
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…
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.