7 citations · 43 across the 38 of their papers we have counts for
4 papers · 2 filters
Regularity results for nonlocal equations and applications
Mouhamed Moustapha Fall
We introduce the concept of -nonlocal operators, extending the notion of second order elliptic operator in divergence form with -coefficients. We then derive the…
Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions
Nicola Abatangelo, Serena Dipierro, Mouhamed Moustapha Fall +2
We present explicit formulas for solutions to nonhomogeneous boundary value problems involving any positive power of the Laplacian in the half-space. For non-integer powers the ope…
Constant Nonlocal Mean Curvatures surfaces and related problems
Mouhamed Moustapha Fall
The notion of Nonlocal Mean Curvature (NMC) appears recently in the mathematics literature. It is an extrinsic geometric quantity that is invariant under global reparameterization…
Critical domains for the first nonzero Neumann eigenvalue in Riemannian manifolds
Mouhamed Moustapha Fall, Tobias Weth
The present paper is devoted to geometric optimization problems related to the Neumann eigenvalue problem for the Laplace-Beltrami operator on bounded subdomains of a Riemannia…