Matilde Gianocca

activity

20222026

most citedMorse Index Stability for Critical Points to Conformally invariant Lagrangians

1 citations · 1 across the 7 of their papers we have counts for

collaborators

9 papers

math.AP2026

Minimizing tangent maps into complex projective space

Matilde Gianocca, André Guerra, David Ziener

We classify all nonconstant smooth harmonic maps $S^{2} \to CP^{n}$ and $S^{3} \to CP^{n}$ whose 0-homogeneous extensions are minimizing: they are, respec…

math.DG2026

Free boundary minimal surfaces of genus zero

Otis Chodosh, Matilde Gianocca

We prove that any embedded genus zero free boundary minimal surface in the ball has first Steklov eigenvalue $1$ . This implies the uniqueness of the critical catenoid.

math.DG2026

No compromise in the liquid drop model

Otis Chodosh, Matilde Gianocca

We characterize minimizers in Gamow's liquid drop problem.

math.DG2026

Minimal hypersurfaces of Morse index one

Otis Chodosh, Matilde Gianocca

We prove that a complete, connected, embedded, minimal hypersurface in $R^{n + 1}$ with finite total curvature and Morse index one is the higher-dimensional catenoid.

math.DG2025

Note on energy index and first eigenvalue of minimal surfaces in spheres

Matilde Gianocca

A minimal immersion from a surface to $S^{3}$ can be viewed both as a critical point of the area and of the energy. Although no difference appears at first order, looking at the resp…

math.DG2025

Rigidity in the Ginzburg--Landau approximation of harmonic spheres

Matilde Gianocca

We prove that not every harmonic map from $S^{2}$ to $S^{2}$ can arise as a limit of Ginzburg--Landau critical points. More precisely, we show that the only degree-one harmonic map…

math.DG2024

Morse Index Stability for the Ginzburg-Landau Approximation

Francesca Da Lio, Matilde Gianocca

In this paper we study the behaviour of critical points of the Ginzburg-Landau perturbation of the Dirichlet energy into the sphere $E_\varepsilon(u):=\int_Σ\frac{1}{2}|du|^2_h\ \,…

math.AP2024

Optimal weighted Wente's inequality

Matilde Gianocca

We prove $L^{\infty}$ and $W^{1, 2}$ weighted Wente's inequalities. We prove in particular the critical case: for the $∣ x ∣^{2}$ weighted Wente's estimate the optimal weight is $|x|^2\lo…

math.DG2022★ 1 cited

Morse Index Stability for Critical Points to Conformally invariant Lagrangians

Francesca Da Lio, Matilde Gianocca, Tristan Rivière

We prove the upper-semi-continuity of the Morse index plus nullity of critical points to general conformally invariant Lagrangians in dimension 2 under weak convergence. Precisely…