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math.FA2019
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…
math.AP2019
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…
math.AP2019
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…