Seminario di Analisi

Giovedi 23 Maggio 2024

Sala Professori I livello DMA

Pierpaolo Esposito (Università di Roma Tre)

“Exponential PDEs in high dimensions”

For a quasilinear equation involving the n−Laplacian and an exponential nonlinearity, I will discuss quantization issues for blow-up masses in the non-compact situation, where the exponential nonlinearity concentrates as a sum of Dirac measures. A fundamental tool is provided here by some Harnack inequality of sup + inf type, a question of independent interest that we prove in the quasilinear context through a new and simple blow-up approach