Guy Foghem

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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 $p$ -Laplacian

Guy Foghem

We establish the optimal stability of Dirichlet boundary value problem for the regional (fractional) $p$ -Laplacian $(- Δ)_{p, Ω}^{s}$ with $0 < s \leq 1$ , $\frac{1}{s} < p < \infty$ 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…

Delaunay-type interface in a screened model of diblock copolymer melts

Optimal stability of Dirichlet problem for the regional fractional p-Laplacian

Robust interpolation inequalities via Chebyshev-type integral inequalities

Optimal stability of Dirichlet problem for the regional fractional $p$ -Laplacian