PIERALBERTO
SICBALDI
PROFESOR TITULAR DE UNIVERSIDAD
Publicaciones (16) Publicaciones de PIERALBERTO SICBALDI
2024
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A Smooth 1-Parameter Family of Delaunay-Type Domains for an Overdetermined Elliptic Problem in Sn× R and Hn× R
Potential Analysis, Vol. 60, Núm. 4, pp. 1407-1420
2023
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Overdetermined elliptic problems in nontrivial contractible domains of the sphere
Journal des Mathematiques Pures et Appliquees, Vol. 180, pp. 151-187
2022
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A Short Survey on Overdetermined Elliptic Problems in Unbounded Domains
Trends in Mathematics (Springer Science and Business Media Deutschland GmbH), pp. 451-461
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Overdetermined elliptic problems in onduloid-type domains with general nonlinearities
Journal of Functional Analysis, Vol. 283, Núm. 12
2021
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Half-space theorems for the Allen-Cahn equation and related problems
Journal fur die Reine und Angewandte Mathematik, Vol. 2021, Núm. 770, pp. 113-133
2020
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Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold
Journal des Mathematiques Pures et Appliquees, Vol. 141, pp. 137-183
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Solutions to overdetermined elliptic problems in nontrivial exterior domains
Journal of the European Mathematical Society, Vol. 22, Núm. 1, pp. 253-281
2017
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A Rigidity Result for Overdetermined Elliptic Problems in the Plane
Communications on Pure and Applied Mathematics, Vol. 70, Núm. 7, pp. 1223-1252
2016
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Delaunay type domains for an overdetermined elliptic problem in double-struck Sn x ℝ and ℍn x ℝ
ESAIM - Control, Optimisation and Calculus of Variations, Vol. 22, Núm. 1, pp. 1-28
2015
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Extremal domains for the first eigenvalue in a general compact riemannian manifold
Discrete and Continuous Dynamical Systems- Series A, Vol. 35, Núm. 12, pp. 5799-5825
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New Examples of Extremal Domains for the First Eigenvalue of the Laplace-Beltrami Operator in a Riemannian Manifold with Boundary
International Mathematics Research Notices, Vol. 2015, Núm. 18, pp. 8752-8798
2014
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Extremal domains of big volume for the first eigenvalue of the Laplace-Beltrami operator in a compact manifold
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 31, Núm. 6, pp. 1231-1265
2013
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Geometry and topology of some overdetermined elliptic problems
Journal of Differential Equations, Vol. 255, Núm. 5, pp. 951-977
2012
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Bifurcating extremal domains for the first eigenvalue of the Laplacian
Advances in Mathematics, Vol. 229, Núm. 1, pp. 602-632
2010
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New extremal domains for the first eigenvalue of the Laplacian in flat tori
Calculus of Variations and Partial Differential Equations, Vol. 37, Núm. 3-4, pp. 329-344
2009
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Extremal domains for the first eigenvalue of the laplace-beltrami operator
Annales de l'Institut Fourier, Vol. 59, Núm. 2, pp. 515-542