UBC DG-MP-PDE Seminar: Pierpaolo Esposito

I will report on recent progress in the study of a quasilinear equation involving the n-Laplacian and an exponential nonlinearity in R^n . In particular quantization issues for blow-up masses in the non-compact situation will be discussed and their relationship with Harnack inequalities of sup + inf type. I will also present some new achievements concerning sharp sup + inf inequalities.