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Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups

open access: yesBruno Pini Mathematical Analysis Seminar, 2010
Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the results recently obtained in [32] and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S.
Francesco Paolo Montefalcone
doaj  

Improved regularity for minimizing capillary hypersurfaces

open access: yes
We give improved estimates for the size of the singular set of minimizing capillary hypersurfaces: the singular set is always of codimension at least $4$, and this estimate improves if the capillary angle is close to $0$, $\fracπ{2}$, or $π$. For capillary angles that are close to $0$ or $π$, our analysis is based on a rigorous connection between the ...
Chodosh, Otis, Edelen, Nick, Li, Chao
openaire   +2 more sources

3D Information-Theoretic Analysis of the Simplest Hydrogen Abstraction Reaction. [PDF]

open access: yesJ Phys Chem A, 2023
Esquivel RO   +2 more
europepmc   +1 more source

Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]

open access: yesAnn Mat Pura Appl, 2023
Branding V   +3 more
europepmc   +1 more source

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