60 citations · 168 across the 13 of their papers we have counts for
5 papers · 1 filter
Uniaxial versus Biaxial Character of Nematic Equilibria in Three Dimensions
Apala Majumdar, Adriano Pisante, Duvan Henao
We study global minimizers of the Landau-de Gennes (LdG) energy functional for nematic liquid crystals, on arbitrary three-dimensional simply connected geometries with topologicall…
Allen-Cahn Approximation of Mean Curvature Flow in Riemannian manifolds I, uniform estimates
Adriano Pisante, Fabio Punzo
We are concerned with solutions to the parabolic Allen-Cahn equation in Riemannian manifolds. For a general class of initial condition we show non positivity of the limiting energy…
Allen-Cahn Approximation of Mean Curvature Flow in Riemannian manifolds II, Brakke's flows
Adriano Pisante, Fabio Punzo
We prove convergence of solutions to the parabolic Allen-Cahn equation to Brakke's motion by mean curvature in space forms, generalizing previous results from [15] in Euclidean spa…
Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach
Giampiero Palatucci, Adriano Pisante, Yannick Sire
We investigate a natural approximation by subcritical Sobolev embeddings of the Sobolev quotient for the fractional Sobolev spaces for any , using -convergence te…
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
Giampiero Palatucci, Adriano Pisante
We obtain an improved Sobolev inequality in H^s spaces involving Morrey norms. This refinement yields a direct proof of the existence of optimizers and the compactness up to symmet…