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

2012/10/10 by Yunyan Yang, Yang, Yunyan
Computer Science · Mathematics · #58J05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #math.DG #msc:58J05

paper · pdf · doi:10.48550/arxiv.1210.2807

43 pages

openalex publication_date 2012/10/10 · arxiv created 2014/07/22 · arxiv updated 2014/07/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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 \citeAdi-Stru, Druet \citeDruet, Lamm-Robert-Struwe \citeL-R-S, Martinazzi \citeMart, Martinazzi-Struwe \citeMar-Stru, and Struwe \citeStruwe respectively.

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