Fatma Gamze Düzgün – Università di Cagliari

Seminario di Analisi – Mercoledi 6 Maggio 2026 – Aula F ore 15.00

“Regularity Results for Singular Parabolic-Elliptic Chemotaxis Models with a Source Term”

We investigate a quasilinear parabolicelliptic chemotaxis system with singular porous
medium-type diusion, nonlinear chemotactic sensitivity, and a source term depending on
both the cell density and its gradient. Using the De GiorgiDiBenedetto technique, we
establish the Hölder continuity of bounded solutions.