Daniel Baratta

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math.AP2026

Overdetermined Singular Problems and Fractional Torsion

Daniel Baratta

We study a Serrin-type overdetermined problem for the fractional Laplacian in a bounded open set with an isolated non-removable interior singularity. For positive weak solutions of…

math.AP2024

Second order regularity for solutions to anisotropic degenerate elliptic equations

Daniel Baratta, Luigi Muglia, Domenico Vuono

We consider solutions to degenerate anisotropic elliptic equations in order to study their regularity. In particular we establish second-order estimates and enclose regularity resu…

math.AP2024

Third order estimates and the regularity of the stress field for solutions to $p$ -Laplace equations

Daniel Baratta, Berardino Sciunzi, Domenico Vuono

We consider solutions to $- Δ_{p} u = f (x) in Ω,$ when $p$ approaches the semilinear limiting case $p = 2$ and we get third order estimates. As a consequence we d…

Overdetermined Singular Problems and Fractional Torsion

Second order regularity for solutions to anisotropic degenerate elliptic equations

Third order estimates and the regularity of the stress field for solutions to p-Laplace equations

Third order estimates and the regularity of the stress field for solutions to $p$ -Laplace equations