Dr. Leandro de Freitas Pessoa

Profile

Academic positionLecturer, Assistant Professor, Researcher
Research fieldsGeometry, Topology,Analysis, Differential Equations
KeywordsParabolicity, Biparabolic manifolds, Volume growth estimates, Isoperimetric inequality, Biharmonic capacity
Honours and awards

2023: Research Productivity Scholarship - Cnpq/Brazil - Level 2 (2023-2026)

2023: Return Fellowship - Alexander von Humboldt Foundation

2020: Capes-Humboldt Research Fellowship for experienced researchers, Capes/Brazil and Alexander von Humboldt Foundation

2020: Research Productivity Scholarship - Cnpq/Brazil - Level 2 (2020-2023)

2019: Oberwolfach Leibniz Fellows, Mathematisches Forschungsinstitut Oberwolfach - MFO

2017: Junior Associate in the Abdus Salam International Centre for Theoretical Physics - ICTP

2005: Silver Medal in the Olimpíada Brasileira de Matemática das Escolas Públicas - OBMEP

Current contact address

CountryBrazil
CityTeresina
InstitutionUniversidade Federal do Piaui (UFPI)

Host during sponsorship

Prof. Dr. Alexander Grigor'yanFakultät für Mathematik, Universität Bielefeld, Bielefeld
Dr. Leandro de Freitas PessoaUniversidade Federal do Piaui (UFPI), Teresina
Start of initial sponsorship01/05/2021

Programme(s)

2020CAPES-Humboldt Research Fellowship Programme for Experienced Researchers

Publications (partial selection)

2024Ahmed Mohammed; Leandro F. Pessoa: On aspects of the normalized Infinity Laplacian on Finsler manifolds. In: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 246, 2024, 113579
2024 G. Pacelli Bessa ; V. Gimeno i Garcia ; Leandro F. Pessoa ; Alberto G. Setti On Doyle-Grigor'yan criterion for non-parabolicity. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 152, 2024, 2697-2700
2021Damião J. Araújo; Luciano Mari; Leandro F. Pessoa: Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 281, 2021, 550-587
2020Luciano Mari; Leandro F. Pessoa . Duality between Ahlfors-Liouville and Khas?minskii properties for non-linear equations. In: COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 28, 2020, 395-497
2019Luciano Mari; Leandro F. Pessoa Maximum Principles at Infinity and the Ahlfors-Khas'minskii Duality: An Overview. In: Serena Dipierro, Contemporary Research in Elliptic PDEs and Related Topics . Springer International Publishing, 2019. 419-455
2019Gregorio Pacelli Bessa; Leandro F. Pessoa; Marco Rigoli Higher order mean curvature estimates for properly immersed phi_h-bounded hypersurfaces. In: ANNALI DI MATEMATICA PURA ED APPLICATA, 198, 2019, 157-175
2018Gregorio Pacelli Bessa; Leandro F. Pessoa; Marco Rigoli: Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers. In: ISRAEL JOURNAL OF MATHEMATICS, 226, 2018, 703-736
2017 Leandro F. Pessoa: A Note on the Maximum Principle at Infinity. In: Leandro F. Pessoa, Lecture Notes on Geometric Analysis. Edufpi, 2017. 167-192
2017Leandro F. Pessoa; Stefano Pigola; Alberto G. Setti: Dirichlet parabolicity and L¹ -Liouville property under localized geometric conditions. In: JOURNAL OF FUNCTIONAL ANALYSIS, 273, 2017, 652-693
2017 Leandro F. Pessoa: Lecture notes on geometric analysis. Edufpi, 2017
2015G. Pacelli Bessa; Barnabé P. Lima; Leandro F. Pessoa: Curvature estimates for properly immersed \phi_h-bounded submanifolds. In: ANNALI DI MATEMATICA PURA ED APPLICATA, 194, 2015, 109-130
2014Gregorio Pacelli Bessa; Leandro F. Pessoa: Maximum principle for semi-elliptic trace operators and geometric applications. In: BULLETIN BRAZILIAN MATHEMATICAL SOCIETY, 45, 2014, 243-265