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math.AP2026
On Neumann -Laplacian Lane-Emden equations and their asymptotic relationship with relative isoperimetric problems
Sean McCurdy, Alberto Saldaña, Delia Schiera
We consider a family of pure Neumann -Laplacian problems, including eigenvalue problems, Lane-Emden type equations, and extremal cases such as sign nonlinearities and the -La…
math.DG2026
Quantitative Estimates on the Topology and Singular Set of Prescribed Mean Curvature Hypersurfaces
Nicolau S. Aiex, Sean McCurdy, Paul Minter
We establish quantitative topological and singularity properties for (certain) prescribed mean curvature (PMC) hypersurfaces in Riemannian manifolds . Indeed, if…