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Adriano Pisante
Researcher at Sapienza University of Rome
Publications - 39
Citations - 809
Adriano Pisante is an academic researcher from Sapienza University of Rome. The author has contributed to research in topics: Mean curvature flow & Harmonic map. The author has an hindex of 16, co-authored 39 publications receiving 686 citations.
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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
TL;DR: In this paper, an improved Sobolev inequality was obtained in the case of dislocation spaces involving Morrey norms, which yields a direct proof of the existence of optimizers and the compactness up to symmetry of optimizing sequences.
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Bloch bundles, Marzari-Vanderbilt functional and maximally localized Wannier functions
Gianluca Panati,Adriano Pisante +1 more
TL;DR: In this article, the authors consider a periodic Schroedinger operator and the composite Wannier functions corresponding to a relevant family of its Bloch bands, separated by a gap from the rest of the spectrum.
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A Global Compactness type result for Palais–Smale sequences in fractional Sobolev spaces
TL;DR: In this paper, the authors extend the global compactness result of Gerard (1998) to any fractional Sobolev spaces H s ( Ω ), for 0 s N / 2 and Ω ⊂ R N a bounded domain with smooth boundary.
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Bloch Bundles, Marzari-Vanderbilt Functional and Maximally Localized Wannier Functions
Gianluca Panati,Adriano Pisante +1 more
TL;DR: In this paper, the authors consider a periodic Schrodinger operator and the composite Wannier functions corresponding to a relevant family of its Bloch bands, separated by a gap from the rest of the spectrum.
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Uniaxial versus biaxial character of nematic equilibria in three dimensions
TL;DR: In this paper, the authors studied global minimizers of the Landau-de Gennes (LdG) energy functional for nematic liquid crystals, on arbitrary three-dimensional simply connected geometries with topologically non-trivial and physically relevant Dirichlet boundary conditions.