56 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- African Institute for Mathematical SciencesZA6 papers
- Goethe University FrankfurtDE5 papers
- Universitat Politècnica de CatalunyaES2 papers
- Center for Mathematical ModelingCL1 paper
- Cornell UniversityUS1 paper
- Institució Catalana de Recerca i Estudis AvançatsES1 paper
- Jeonbuk National UniversityKR1 paper
- King Abdullah University of Science and TechnologySA1 paper
- King Saud UniversitySA1 paper
- Massachusetts Institute of TechnologyUS1 paper
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT1 paper
- University College CorkIE1 paper
4 papers · 1 filter
Unbounded periodic solutions to Serrin's overdetermined boundary value problem
Mouhamed Moustapha Fall, Ignace Aristide Minlend, Tobias Weth
We study the existence of nontrivial unbounded domains in such that the overdetermined problem $$ -Δu = 1 \quad \text{in }, \qquad u=0, \quad \partial_νu=\tex…
Existence of Self-Cheeger sets on Riemannian manifolds
Ignace Aristide Minlend
Let be a compact Riemannian manifold of dimension . We prove the existence of a family of self-Cheeg…
Delaunay hypersurfaces with constant nonlocal mean curvature
Xavier Cabre, Mouhamed Moustapha Fall, Tobias Weth
We study hypersurfaces of with constant nonlocal (or fractional) mean curvature. This is the equation associated to critical points of the fractional perimeter funct…
On the rate of change of the best constant in the Sobolev inequality
Tom Carroll, Mouhamed Moustapha Fall, Jesse Ratzkin
We estimate the rate of change of the best constant in the Sobolev inequality of a Euclidean domain which moves outward. Along the way we prove an inequality which reverses the usu…