Guy Foghem

collaborators

4 papers

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…

math.AP2026

Optimal stability of complement value problems for p-LÃ©vy operators

Guy Foghem

We establish the optimal convergence of solutions to integro-differential equations (IDEs) governed by symmetric integrodifferential $p$ -LÃ©vy operators, $1 < p < \infty$ , in the p…

math.AP2025

Guy Foghem, David Padilla-Garza, Markus Schmidtchen

We study a porous medium-type equation whose pressure is given by a nonlocal LÃ©vy operator associated to a symmetric jump LÃ©vy kernel. The class of nonlocal operators under consi…

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

Robust interpolation inequalities via Chebyshev-type integral inequalities

Optimal stability of complement value problems for p-LÃ©vy operators

Gradient Flow Solutions For Porous Medium Equations with Nonlocal LÃ©vy-type Pressure

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