Publicaciones (16) Publicaciones de PIERALBERTO SICBALDI

2023

  1. A Smooth 1-Parameter Family of Delaunay-Type Domains for an Overdetermined Elliptic Problem in Sn× R and Hn× R

    Potential Analysis

  2. Overdetermined elliptic problems in nontrivial contractible domains of the sphere

    Journal des Mathematiques Pures et Appliquees, Vol. 180, pp. 151-187

2022

  1. A Short Survey on Overdetermined Elliptic Problems in Unbounded Domains

    Trends in Mathematics (Springer Science and Business Media Deutschland GmbH), pp. 451-461

  2. Overdetermined elliptic problems in onduloid-type domains with general nonlinearities

    Journal of Functional Analysis, Vol. 283, Núm. 12

2021

  1. 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

  1. Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold

    Journal des Mathematiques Pures et Appliquees, Vol. 141, pp. 137-183

  2. Solutions to overdetermined elliptic problems in nontrivial exterior domains

    Journal of the European Mathematical Society, Vol. 22, Núm. 1, pp. 253-281

2017

  1. A Rigidity Result for Overdetermined Elliptic Problems in the Plane

    Communications on Pure and Applied Mathematics, Vol. 70, Núm. 7, pp. 1223-1252

2016

  1. 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

  1. 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

  2. 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

  1. 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

  1. Geometry and topology of some overdetermined elliptic problems

    Journal of Differential Equations, Vol. 255, Núm. 5, pp. 951-977

2012

  1. Bifurcating extremal domains for the first eigenvalue of the Laplacian

    Advances in Mathematics, Vol. 229, Núm. 1, pp. 602-632

2010

  1. 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

  1. Extremal domains for the first eigenvalue of the laplace-beltrami operator

    Annales de l'Institut Fourier, Vol. 59, Núm. 2, pp. 515-542