Quantization for an elliptic equation with critical exponential growth on compact Riemannian surface without boundary

Abstract

In this paper, using blow-up analysis, we prove a quantization result for an elliptic equation with critical exponential growth on compact Riemannian surface without boundary. Similar results for Euclidean space were obtained by Adimurthi-Struwe Adi-Stru, Druet Druet, Lamm-Robert-Struwe L-R-S, Martinazzi Mart, Martinazzi-Struwe Mar-Stru, and Struwe Struwe respectively.

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