Paschalis Karageorgis

Paschalis Karageorgis is an Associate Professor in the School of Mathematics at Trinity College Dublin, Ireland, with research focusing on partial differential equations within the Pure Mathematics discipline.

His research spans Nonlinear Partial Differential Equations, emphasizing quasilinear elliptic and parabolic systems, stability analysis, and asymptotic behavior of solutions. He investigates blow-up phenomena, existence theory, and qualitative properties in critical/supercritical regimes, with applications in mathematical physics and engineering models like suspension bridges and water waves.

Analysis of his 2024-2005 publications reveals consistent focus on advanced PDE theory: the Hénon-Lane-Emden system, Hartree-type wave equations, and biharmonic equations dominate his work. Key trends include monotonic convergence in radial solutions, refined blow-up estimates, and nonexistence results for inequalities with nonlocal terms, demonstrating deep engagement with nonlinear analysis challenges.