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math.AP2023★ 9 cited
A First Course in Fractional Sobolev Spaces
Giovanni Leoni
This book provides a gentle introduction to fractional Sobolev spaces, which play a central role in the calculus of variations, partial differential equations, and harmonic analysi…
math.AP2016
Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals
Gianni Dal Maso, Irene Fonseca, Giovanni Leoni
In this paper the study of a nonlocal second order Cahn-Hilliard-type singularly perturbed family of functions is undertaken. The kernels considered include those leading to Gaglia…
math.AP2014
Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional
Gianni Dal Maso, Irene Fonseca, Giovanni Leoni
The asymptotic behavior of an anisotropic Cahn-Hilliard functional with prescribed mass and Dirichlet boundary condition is studied when the parameter epsilon that determines the w…