2 papers
math.AP2026
An isoperimetric inequality for twisted eigenvalues with one orthogonality constraint
Emanuele Salato, Davide Zucco
We consider twisted eigenvalues , defined as the minimum of the Rayleigh quotient of functions in that are orthogonal to a given function $g\in L^2_\t…
math.AP2026
A self-contained proof of the Alt-Caffarelli-Friedman monotonicity formula
Emanuele Salato
The Alt-Caffarelli-Friedman monotonicity formula is a cornerstone in the theory of free boundary problems. In this note we provide a self-contained proof of this result. To prove t…