1 citations · 1 across the 7 of their papers we have counts for
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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 . This implies the uniqueness of the critical catenoid.
No compromise in the liquid drop model
Otis Chodosh, Matilde Gianocca
We characterize minimizers in Gamow's liquid drop problem.
Minimal hypersurfaces of Morse index one
Otis Chodosh, Matilde Gianocca
We prove that a complete, connected, embedded, minimal hypersurface in with finite total curvature and Morse index one is the higher-dimensional catenoid.
Note on energy index and first eigenvalue of minimal surfaces in spheres
Matilde Gianocca
A minimal immersion from a surface to 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…
Rigidity in the Ginzburg--Landau approximation of harmonic spheres
Matilde Gianocca
We prove that not every harmonic map from to can arise as a limit of Ginzburg--Landau critical points. More precisely, we show that the only degree-one harmonic map…
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\ \,…
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…