People

Faculty

• Claudia Anedda (Assistant professor)
• Lucio Cadeddu (Assistant professor)
• Fabrizio Cuccu (Assistant professor)
• Rafael Díaz Fuentes (Assistant professor)
• Fatma Gamze Düzgün (Assistant professor)
• Silvia Frassu (Assistant professor)
• Antonio Greco (Associate professor)
• Antonio Iannizzotto (Associate professor)
• Monica Marras (Associate professor)
• Giuseppe Viglialoro (Associate professor)

Research Interests

• Existence and Regularity for Nonlocal Differential Equations
• Keller-Segel models
• Ordinary differential equations models in dietology
• PDEs in connection with population dynamics
• Symmetry in overdetermined problems
• Thin films

Events

• The 8th International Workshop on Mathematical Analysis of Chemotaxis (Cagliari, May 12-16, 2025)
• Modelli nelle scienze della vita (Cagliari, September 23-24, 2024)
• V Workshop on Trends in Nonlinear Analysis (Cagliari, September 10-11, 2024)
• IV Workshop on Trends in Nonlinear Analysis (Cagliari, September 13-14, 2022)
• Partial Differential Equations in Analysis and Mathematical Physics (Santa Margherita di Pula, May 30 - June 1, 2019)
• III Workshop on Trends in Nonlinear Analysis in honor of Stella Piro Vernier (Cagliari, September 7-9, 2017)
• Research Meeting on Nonlocal Operators (Cagliari, October 6-8, 2016)
• Geometric properties of solutions to elliptic and parabolic problems (Santa Margherita di Pula, September 19-21, 2016)
• II Workshop on Trends in Nonlinear Analysis (Cagliari, September 24-26, 2015)
• Trends in Nonlinear Analysis (Cagliari, March 21-22, 2014)
• Nonlinear elliptic and parabolic problems (Cagliari, June 28-29, 2012, in honour of prof. Giovanni Porru)

Research Collaborations

• Daniele Castorina (Università Federico II di Napoli)
• Yutaro Chiyo (Tokyo University of Science)
• Simone Ciani (Università di Bologna)
• Stefano De Marchi (Università di Padova)
• Rafael Rodríguez Galván (Universidad de Cádiz)
• Francesca Gladiali (Università di Sassari)
• Johannes Lankeit (Leibniz Universität Hannover)
• Tongxing Li (Shandong University)
• Marcello Lucia (The City University of New York)
• Benyam Mebrate (Wollo University, Dessie, Ethiopia)
• Sunra Mosconi (Università di Catania)
• Dimitri Mugnai (Università della Tuscia)
• Nikolas S. Papageorgiou (National Technical University of Athens)
• Pieralberto Sicbaldi (Universidad de Granada)
• Vasile Staicu (Universidade de Aveiro)
• Yuya Tanaka (Tokyo University of Science)
• Cornelis van der Mee (Università di Cagliari)
• Tobias Weth (Goethe-Universität Frankfurt am Main)
• Thomas Woolley (Cardiff University)
• Tomomi Yokota (Tokyo University of Science)

Selected Publications

• Cassanello, F.M.; Düzgün, F.G.; Iannizzotto, A. Hölder regularity for the fractional p-Laplacian, Adv. Calc. Var. (2025).  https://doi.org/10.1515/acv-2024-0103
• Marras, M.; Vernier Piro, S; Yokota, T. Behavior in time of solutions to a degenerate chemotaxis system with flux limitation, Nonlinear Analysis: Real World Applications, 81,104215 (2025), 1-12. https://doi.org/10.1016/j.nonrwa.2024.104215
• Chiyo, Y.; Düzgün, F.G.; Frassu, S.; Viglialoro, G. Boundedness Through Nonlocal Dampening Effects in a Fully Parabolic Chemotaxis Model with Sub and Superquadratic Growth, Applied Mathematics and Optimization, 89(1), 9 (2024), 1-21. https://doi.org/10.1007/s00245-023-10077-3
• Chiyo, Y.; Marras, M. Qualitative Behavior of Solutions of a Chemotaxis System with Flux Limitation and Nonlinear Signal Production, Acta Appl. Math. 194, 10 (2024), 1-16. https://doi.org/10.1007/s10440-024-00699-2
• Iannizzotto, A; Mosconi, S. Fine boundary regularity for the singular fractional p-Laplacian, J. Differential Equations 412 (2024), 322-379.  https://doi.org/10.1016/j.jde.2024.08.026
• Cadeddu, L.; Meles, M. The diet problem, a mathematical approach, Progress in Nutrition vol. 25 (2) (2023), 1-8. https://doi.org/10.23751/pn.v25i2.13266
• Gladiali, F.; Greco, A. Symmetry and monotonicity results for solutions of semilinear PDEs in sector-like domains, Ann. Mat. Pura Appl. (4) 202 (2023), 431-461. https://doi.org/10.1007/s10231-022-01247-1
• Li, T.; Frassu, S.; Viglialoro, G. Combining effects ensuring boundedness in an attraction–repulsion chemotaxis model with production and consumption. Zeitschrift fur Angewandte Mathematik und Physik, 74(3), 109 (2023), 1-21. https://doi.org/10.1007/s00033-023-01976-0
• Anedda, C.; Cuccu, F. Optimal location of resources and Steiner symmetry in a population dynamics model in heterogeneous environments, Annales Fennici Mathematici, 47 (1), (2022) 305-324. https://doi.org/10.54330/afm.113547
• Anedda C.; Cuccu, F.; Frassu, S. Steiner symmetry in the minimization of the first eigenvalue of a fractional eigenvalue problem with indefinite weight, Can. J. Math. 73, no. 4 (2021), 970-992. https://doi.org/10.4153/S0008414X20000267
• Cadeddu, L.; Cauli, A.; De Marchi, S. Mathematics and Oenology: Exploring an Unlikely Pairing, Handbook of the Mathematics of the Arts and Sciences - ISBN: 978-3-319-70658-0 (2019), 1-32. https://doi.org/10.1007/978-3-319-70658-0_67-1
• Greco, A. On the existence of large solutions for equations of prescribed mean curvature, Nonlinear Anal., Theory Methods Appl. 34 (1998), 571-583. https://doi.org/10.1016/S0362-546X(97)00556-7

Alumni

• Filippo Cassanello
• Alessandro Columbu
• Danilo Licheri
• Maria Antonietta Farina
• Vincenzino Mascia
• Benyam Mebrate
• Francesco Pisanu

Former Members

• Todor Gramchev (R.I.P.)
• Anna Piro Grimaldi
• Stella Piro Vernier
• Giovanni Porru
• Francesco Ragnedda