most citedGradient Flow Solutions For Porous Medium Equations with Nonlocal Lévy-type Pressure

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

math.FA2023

Banach-Saks Theorem for revisited

Guy Foghem

The Banach-Saks property is an important tool in analysis with applications ranging from partial differential equations (PDEs) to calculus of variations and probability theory. We…

math.AP2023★ 1 cited

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…