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2 results on '"Ivan Cinelli"'

1. Nonlocal approximations to anisotropic Sobolev norms

Author

Ivan, Cinelli, Gianluca, Ferrari, Squassina, Marco, Squassina (ORCID:0000-0003-0858-4648), Ivan, Cinelli, Gianluca, Ferrari, Squassina, Marco, and Squassina (ORCID:0000-0003-0858-4648)

Abstract

We obtain some nonlocal characterizations for a class of variable exponent Sobolev spaces arising in nonlinear elasticity, in the theory of electrorheological fluids as well as in image processing for the regions where the variable exponent p(x) reaches the value 1.

Published
2022

2. Nonlocal approximations to anisotropic Sobolev norms

Author

Ivan Cinelli, Gianluca Ferrari, and Marco Squassina

Subjects
Mathematics - Functional Analysis, approximations, Mathematics - Analysis of PDEs, Sobolev norms, General Mathematics, FOS: Mathematics, Anisotropic Sobolev spaces, Nonlocal characterizations, Image processing, Nonlocal, approximations, anisotropic, Sobolev norms, Nonlocal, anisotropic, Analysis of PDEs (math.AP), Functional Analysis (math.FA), Settore MAT/05 - ANALISI MATEMATICA
Abstract

We obtain some nonlocal characterizations for a class of variable exponent Sobolev spaces arising in nonlinear elasticity, in the theory of electrorheological fluids as well as in image processing for the regions where the variable exponent $p(x)$ reaches the value $1$., 15 pages

Published
2021

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