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Delaunay-type interface in a screened model of diblock copolymer melts
Guy Foghem, Mouhamed Moustapha Fall
A diblock copolymer is a soft-matter composed of two chemically distinct block of repeating monomers covalently bonded together at an end-to-end junction to form a single polymer c…
Optimal stability of Dirichlet problem for the regional fractional -Laplacian
Guy Foghem
We establish the optimal stability of Dirichlet boundary value problem for the regional (fractional) -Laplacian with , and $Ω\su…
Robust interpolation inequalities via Chebyshev-type integral inequalities
Guy Foghem
We establish robust log-convex interpolation inequalities within the scale of Gagliardo seminorms. We achieve this by deriving some Chebyshev-type integral inequalities for general…
Optimal stability of complement value problems for p-Lévy operators
Guy Foghem
We establish the optimal convergence of solutions to integro-differential equations (IDEs) governed by symmetric integrodifferential -Lévy operators, , in the pr…
Gradient Flow Solutions For Porous Medium Equations with Nonlocal Lévy-type Pressure
Guy Foghem, David Padilla-Garza, Markus Schmidtchen
We study a porous medium-type equation whose pressure is given by a nonlocal Lévy operator associated to a symmetric jump Lévy kernel. The class of nonlocal operators under conside…