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math.AP2022
On a Characterization of the Rellich-Kondrachov Theorem on Groups
Vernny Ccajma, Wladimir Neves, Jean Silva
Motivated by an eigenvalue-eigenfunction problem posed in IR^n x Ω, where Ω is a probability space, we are concerned in this paper with the Sobolev space on groups. Hence it is est…
math.AP2021
Homogenization of Schrodinger equations. Extended Effective Mass Theorems for non-crystalline matter
Vernny Ccajma, Wladimir Neves, Jean Silva
This paper concerns the homogenization of Schrodinger equations for non-crystalline matter, that is to say the coefficients are given by the composition of stationary functions wit…