40 citations · 97 across the 17 of their papers we have counts for
22 papers
The geometry of the free boundary
Emanuel Indrei
The non-transversal intersection of the free boundary with the fixed boundary is obtained for nonlinear uniformly elliptic operators when th…
Minimizing the free energy
Emanuel Indrei, Aram Karakhanyan
We prove the sharp quantitative stability in the radial isotropic Almgren problem. In addition, we develop a theory for estimating the sharp modulus in the context of minimal assum…
Sharp stability for LSI
Emanuel Indrei
A solution is given to a problem discussed by Brigati, Dolbeault, and Simonov [arXiv:2302.03926].
On the first eigenvalue of the Laplacian for polygons
Emanuel Indrei
In 1947, Pólya proved that if the regular polygon minimizes the principal frequency of an n-gon with given area and suggested that the same holds when …
Free boundary regularity near the fixed boundary for the fully nonlinear obstacle problem
Emanuel Indrei
The interior free boundary theory for linear elliptic operators in higher dimensions was developed by Caffarelli in the low regularity context. In these notes, the up-to-the bounda…
A weighted relative isoperimetric inequality in convex cones
Emanuel Indrei
A weighted relative isoperimetric inequality in convex cones is obtained via the Monge-Ampere equation. The method improves several inequalities in the literature, e.g. constants i…