Michele Gatti

most citedA quantitative study of radial symmetry for solutions to semilinear equations in

R^{n}

2 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2026

The Liouville equation on Riemannian surfaces: the role of volume growth in classification and rigidity results

Giulio Ciraolo, Alberto Farina, Michele Gatti

We study the Liouville equation $- Δ u = e^{u}$ on a complete, connected, non-compact, boundaryless Riemannian surface $(M, g)$ with non-negative Ricci curvature. Assuming only some as…

math.AP2026

On the anisotropic critical $p$ -Laplace equation: classification, decomposition, and stability results

Carlo Alberto Antonini, Giulio Ciraolo, Michele Gatti

We investigate both qualitative and quantitative issues related to the classification of non-negative energy solutions to the anisotropic critical $p$ -Laplace equation in $\mathbb{…

math.AP2025

Classification results for bounded positive solutions to the critical $p$ -Laplace equation

Giulio Ciraolo, Michele Gatti

By providing optimal or nearly optimal integral estimates, we show that every positive, bounded or moderately growing, local weak solution to the critical $p$ -Laplace equation in $…

math.AP2025

Fractional Dirichlet problems with an overdetermined nonlocal Neumann condition

Michele Gatti, Julian Scheuer, Tobias Weth

We investigate symmetry and quantitative approximate symmetry for an overdetermined problem related to the fractional torsion equation in a regular open, bounded set $Ω\subseteq \m…

math.AP2025★ 1 cited

On the stability of the critical $p$ -Laplace equation

Giulio Ciraolo, Michele Gatti

For $1 < p < n$ , it is well-known that non-negative, energy weak solutions to $Δ_{p} u + u^{p^{*} - 1} = 0$ in $R^{n}$ are completely classified. Moreover, due to a fundamental re…

math.AP2025★ 1 cited

Approximate radial symmetry for $p$ -Laplace equations via the moving planes method

Michele Gatti

We investigate quasi-symmetry for small perturbations of the Gidas-Ni-Nirenberg problem involving the $p$ -Laplacian and for small perturbations the critical $p$ -Laplace equation fo…

math.AP2025★ 2 cited

A quantitative study of radial symmetry for solutions to semilinear equations in $R^{n}$

Giulio Ciraolo, Matteo Cozzi, Michele Gatti

A celebrated result by Gidas, Ni & Nirenberg asserts that positive classical solutions, decaying at infinity, to semilinear equations $Δ u + f (u) = 0$ in $R^{n}$ must be radial…

The Liouville equation on Riemannian surfaces: the role of volume growth in classification and rigidity results

On the anisotropic critical p-Laplace equation: classification, decomposition, and stability results

Classification results for bounded positive solutions to the critical p-Laplace equation

Fractional Dirichlet problems with an overdetermined nonlocal Neumann condition

On the stability of the critical p-Laplace equation

Approximate radial symmetry for p-Laplace equations via the moving planes method

A quantitative study of radial symmetry for solutions to semilinear equations in Rn

On the anisotropic critical $p$ -Laplace equation: classification, decomposition, and stability results

Classification results for bounded positive solutions to the critical $p$ -Laplace equation

On the stability of the critical $p$ -Laplace equation

Approximate radial symmetry for $p$ -Laplace equations via the moving planes method

A quantitative study of radial symmetry for solutions to semilinear equations in $R^{n}$