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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 and weighted Wente's inequalities. We prove in particular the critical case: for the weighted Wente's estimate the optimal weight is $|x|^2\lo…