André Guerra

activity

20182026

most citedQuasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints

22 citations · 77 across the 17 of their papers we have counts for

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Showing 2026Show all

4 papers · 1 filter

math.CV2026

Sharp Higher Integrability Theory, Part I: The $L^{p}$ -norm of the Beurling--Ahlfors transform

Andrea Agazzi, Kari Astala, Giuseppe Bruno +18

We confirm a conjecture posed by T. Iwaniec in 1982: the $L^{p}$ norm of the Beurling--Ahlfors transform is $p - 1$ if $p \geq 2$ , and $(p - 1)^{- 1}$ if $1 < p \leq 2$ .

math.AP2026

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…

math.AP2026

Morrey's problem in $R^{2 \times 4}$ and $R_{sym}^{3 \times 3}$

Andrea Agazzi, Giuseppe Bruno, André Guerra +1

We find an explicit rank-one convex non-quasiconvex integrand in $R^{2 \times 4}$ : to falsify the quasiconvexity inequality, we exhibit a map $T^{4} \to R^{2}$ …

math.AP2026

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 $K^{- 1}$ and the larg…

Sharp Higher Integrability Theory, Part I: The Lp-norm of the Beurling--Ahlfors transform

On the effective sharp stability of the Faber-Krahn inequality

Morrey's problem in R2×4 and Rsym3×3​

On the sharp Hölder exponent in the De Giorgi--Nash--Moser theory

Sharp Higher Integrability Theory, Part I: The $L^{p}$ -norm of the Beurling--Ahlfors transform

Morrey's problem in $R^{2 \times 4}$ and $R_{sym}^{3 \times 3}$