Address book
Contacts
PIER DOMENICO LAMBERTI
Position
Professore Ordinario
Address
STRADELLA SAN NICOLA, 3 - VICENZA
Telephone
0498271419
Professional Experience
Apr. 2021 - present: Full Professor in Mathematical Analysis at the Dipartimento di Tecnica e Gestione dei Sistemi Industriali (DTG) of the University of Padova
May 2019: National Scientific Habilitation to Full Professor in Mathematical Analysis
Sept. 2015 - Mar. 2021: Associate Professor in Mathematical Analysis at the Department of Mathematics of University of Padova
Oct. 2011 - Sept. 2017: Tutor in Mathematical Analysis at the school of excellence of the University of Padova - Scuola Galileiana di Studi Superiori.
Mar. 2006 - Aug. 2015: Researcher in Mathematical Analysis at the Department of Mathematics the University of Padova
Education
Phd in Mathematics University of Padova, 2003
Laurea in Mathematics University of Padova, 1998, Summa cum Laude
Research visits
Long term visits: University of Cardiff, University of Athens, Complutense University of Madrid
Short term visits: People's Friendship University of Russia (Moscow), Technion Israel Institute of Tecnology (Haifa, Isreael), EPFL École polytechnique fédérale de Lausanne, University of Paris 7, BCAM in Bilbao, Luleå University of Technology (Sweden), Eurasian National University (Astana, Kazakhstan), University of Crete, University of Ioannina, University of Catania, University of Aveiro.
Invited talks
About fifty invited talks and seminars at international meetings and research institutes in Italy, Russia, US, Japan, Switzerland, UK, France, Germany, Spain, Portugal, Greece, Czech Republic, Poland, Bulgaria, Israel, Turkey, Kazakhstan.
Notices
Office hours
Su appuntamento
Teachings
- MATHEMATICAL ANALYSIS 1, AA 2024 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2024 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2024 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2023 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2023 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2023 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2022 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2022 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2022 (IN10100190)
- FUNCTIONAL ANALYSIS, AA 2021 (SCP6076297)
- MATHEMATICAL ANALYSIS 1, AA 2021 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2021 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2021 (IN10100190)
- FUNCTIONAL ANALYSIS, AA 2020 (SCP6076297)
- FUNCTIONAL ANALYSIS, AA 2019 (SCP6076297)
- FUNCTIONAL ANALYSIS, AA 2018 (SCP6076297)
- FUNCTIONAL ANALYSIS 1, AA 2017 (SC02111821)
- ADVANCED MATHEMATICS FOR ENGINEERS, AA 2017 (IN01123530)
- ADVANCED MATHEMATICS FOR ENGINEERS, AA 2017 (IN01123530)
- ADVANCED MATHEMATICS FOR ENGINEERS, AA 2016 (IN01123530)
- ADVANCED MATHEMATICS FOR ENGINEERS, AA 2016 (IN01123530)
- FUNCTIONS THEORY, AA 2016 (SCP3050963)
- ADVANCED MATHEMATICS FOR ENGINEERS, AA 2015 (IN01123530)
- ADVANCED MATHEMATICS FOR ENGINEERS, AA 2015 (IN01123530)
- FUNCTIONS THEORY, AA 2015 (SCP3050963)
- FUNCTIONS THEORY, AA 2014 (SCP3050963)
- FUNCTIONS THEORY, AA 2013 (SCP3050963)
- FUNCTIONS THEORY 1, AA 2012 (SC02119746)
- FUNCTIONS THEORY 1, AA 2011 (SC02119746)
Publications
Recent Publications
Lamberti, Pier Domenico; Luzzini, Paolo; Musolino, Paolo Shape perturbation of Grushin eigenvalues. J. Geom. Anal. 31 (2021), no. 11, 10679–10717.
Lamberti, Pier Domenico; Stratis, Ioannis G.; On an Interior Calderón Operator and a Related Steklov Eigenproblem for Maxwell's Equations. SIAM J. Math. Anal. 52 (2020), no. 5, 4140–4160.
Ferrero, Alberto; Lamberti, Pier Domenico; Spectral stability for a class of fourth order Steklov problems under domain perturbations, Calculus of Variations and Partial Differential Equations Vol. 58 (2019), 33, 1-57.
Lamberti, Pier Domenico; Violo, Ivan Yuri; On Stein's extension operator preserving Sobolev-Morrey spaces. Math. Nachr. 292 (2019), 1701-1715.
Lamberti, Pier Domenico; Pinchover, Yehuda; Lp Hardy inequality on C1,γ domains. To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XIX, no. 3, 2019.
Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico; Boundary homogenization for a triharmonic intermediate problem, Math. Methods Appl. Sci. 41 (2018), no. 3, 979–985.
Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico; Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains, Integral Equations and Operator Theory, 89 (2017), no. 3, 377–408.
Arrieta, José M.; Lamberti, Pier Domenico; Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems, J. Differential Equations 263 (2017), no. 7, 4222–4266.
Lamberti, Pier Domenico; Provenzano, Luigi; Neumann to Steklov eigenvalues: asymptotic and monotonicity results. Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), no. 2, 429–447.
Fanciullo, Maria Stella; Lamberti, Pier Domenico On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains. Math. Nachr. 290 (2017), no. 1, 37–49.
Lamberti, Pier Domenico; Stefani, Giorgio Sobolev subspaces of nowhere bounded functions. Real Anal. Exchange 41 (2016), no. 2, 367–375.
Barbatis, Gerassimos; Lamberti, Pier Domenico Monotonicity, continuity and differentiability results for the Lp Hardy constant. Israel J. Math. 215 (2016), no. 2, 1011–1024.
Buoso, Davide; Lamberti, Pier Domenico Shape sensitivity analysis of the eigenvalues of the Reissner-Mindlin system. SIAM J. Math. Anal. 47 (2015), no. 1, 407–426.
Barbatis, Gerassimos; Lamberti, Pier Domenico Shape sensitivity analysis of the Hardy constant. Nonlinear Anal. 103 (2014), 98–112.
Lamberti, Pier Domenico Steklov-type eigenvalues associated with best Sobolev trace constants: domain perturbation and overdetermined systems. Complex Var. Elliptic Equ. 59 (2014), no. 3, 309–323.
Buoso, Davide; Lamberti, Pier Domenico Shape deformation for vibrating hinged plates. Math. Methods Appl. Sci. 37 (2014), no. 2, 237–244.
Lamberti, P. D.; Provenzano, L. A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations. Eurasian Math. J. 4 (2013), no. 3, 70–83.
Buoso, Davide; Lamberti, Pier Domenico Eigenvalues of polyharmonic operators on variable domains. ESAIM Control Optim. Calc. Var. 19 (2013), no. 4, 1225–1235.
Arrieta, José M.; Lamberti, Pier Domenico Spectral stability results for higher-order operators under perturbations of the domain. C. R. Math. Acad. Sci. Paris 351 (2013), no. 19-20, 725–730.
Research Area
Research field
Mathematical Analysis
Areas of interest
Partial Differential Equation, Spectral theory, Theory of functions spaces, Functional Analysis, Calculus of variations, Homogenization theory.
Research topics
Perturbation problems for elliptic partial differential operators of second and higher order
Shape sensitivity analysis, spectral stability estimates and optimization
Boundary homogenization for polyharmonic operators
Mass concentration phenomena and Steklov-type problems
Eigenvalue problems for quasilinear equations
Spectral theory for time-harmonic Maxwell's equations
Hardy inequalities
Extension theorems for Sobolev-Morrey spaces on Lipschitz domains
Pathological functions and pathological function spaces
Thesis proposals
1) Michele Zaccaron, Phd in Mathematics, under supervision.
2) Francesco Ferraresso, Phd in Mathematics, 2018. Title: “On the spectral stability of polyharmonic operators on singularly perturbed domains”.
3) Luigi Provenzano, Phd in Mathematics, 2016. Title: “On mass distribution and concentration phenomena for linear elliptic partial differential operators”.
4) Davide Buoso, Phd in Mathematics, 2015. Title: “Shape sensitivity analysis of the eigenvalues of polyharmonic operators and elliptic systems”.
5) Ivan Yuri Violo (A.Y. 2016-2017), Master Thesis. Title: “Extension operators on
Sobolev-Morrey spaces”. 110/110 cum Laude.
6) Francesco Ferraresso (A.Y. 2013-2014), Master Thesis (co-supervision with Prof. Jari Taskinen, University of Helsinki, Erasmus Program). Title: “Singular perturbation problems for a class of partial differential equations in a double-periodic perforated plane”. 110/110 cum Laude.
7) Francesco Ferraresso (A.Y. 2011-2012), Bachelor dissertation. Title: “L'equazione del p-laplaciano”. 110/110 cum Laude.
8) Luigi Provenzano (A.Y. 2010-2011), Master Thesis. Title: “Eigenvalues of harmonic and poly-harmonic operators subject to mass density perturbations”. 110/110 cum Laude.
9) Gianluigi Potente (A.Y. 2010-2011), Master Thesis (co-supervision with Prof. Marco Marletta della Cardiff University, UK, Erasmus Program). Title: “On spectrum of a dissipatively perturbed Schrödinger operator on the real semi-axis”. 110/110 cum Laude.
10) Davide Buoso (A.Y. 2010-2011), Master Thesis. Title: “On the spectral stability of poly-harmonic operators on variable domains”. 110/110 cum Laude.
11) Matteo Basei (A.Y. 2009-2010), Bachelor Dissertation. Title: “Su alcune stime di stabilita' spettrale per operatori differenziali alle derivate parziali di tipo ellittico”. 110/110 cum Laude.
12) Luigi Provenzano (A.Y. 2008-2009), Bachelor Dissertation. Title: “Sulla dipendenza dello spettro di una membrana vibrante dalla densita' di massa”. 106/110.
13) Giacomo Drago (A.Y. 2008-2009), Bachelor Dissertation. Title: “Funzioni e funzioni strane: alcuni aspetti storici e didattici”. 110/110 cum Laude.
14) Marco Perin (A.Y. 2008-2009), Bachelor Dissertation. Title: “Sulla ottimalita' di alcune stime di stabilita' spettrale per operatori differenziali ellittici del secondo ordine”. 110/110.
15) Giovanni Franzina (A.Y. 2008-2009), Master Thesis. Title: “On a class of nonlinear eigenvalue problems. Existence, Uniqueness and stability results”. 110/110 e Lode. Posizione attuale: assegnista di ricerca, Istituto Nazionale di Alta Matematica “F. Severi”, Unità di ricerca di Firenze.
16) Mandorino Vito Nicola (A.Y. 2006-2007), Bachelor Disseration (co-supervisin with Prof. Victor Burenkov). Title: “On a General Spectral Stability Theorem and some applications to the Laplace Operator”. 110/110 cum Laude.
