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SEMINARIO di ANALISI MATEMATICA
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Il giorno 3 Ottobre 2024, alle ore 15:00 nella Aula D I Livello del DMA,
il Prof. Pierpaolo Esposito della Università di Roma Tre, terrà il seguente seminario:

“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.

Francesco Solombrino
Daniele Castorina