22 citations · 77 across the 17 of their papers we have counts for
19 papers
Sharp Higher Integrability Theory, Part I: The -norm of the Beurling--Ahlfors transform
Andrea Agazzi, Kari Astala, Giuseppe Bruno +18
We confirm a conjecture posed by T. Iwaniec in 1982: the norm of the Beurling--Ahlfors transform is if , and if .
On the effective sharp stability of the Faber-Krahn inequality
André Guerra, João Miguel Machado, João P. G. Ramos
We prove the sharp quantitative Faber--Krahn inequality with a computable dimensional constant, resolving a problem posed by Brasco and De Philippis~\cite[Open Problem~2]{brasco201…
Morrey's problem in and
Andrea Agazzi, Giuseppe Bruno, André Guerra +1
We find an explicit rank-one convex non-quasiconvex integrand in : to falsify the quasiconvexity inequality, we exhibit a map …
On the sharp Hölder exponent in the De Giorgi--Nash--Moser theory
André Guerra
We consider solutions of uniformly elliptic equations with measurable coefficients. We assume that the lowest eigenvalue of the coefficient matrix is at least and the larg…
Stability of the Faber-Krahn inequality for the Short-time Fourier Transform
Jaime Gómez, André Guerra, João P. G. Ramos +1
We prove a sharp quantitative version of the Faber--Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit which measures by how muc…
Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension
André Guerra, Xavier Lamy, Konstantinos Zemas
In this work we prove a sharp quantitative form of Liouville's theorem, which asserts that, for all , the weakly conformal maps of with degree ar…