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

Yunyan Yang

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

Differential Geometry 2014-07-23 v2 Analysis of PDEs

Authors: Yunyan Yang

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 \cite{Adi-Stru}, Druet \cite{Druet}, Lamm-Robert-Struwe \cite{L-R-S}, Martinazzi \cite{Mart}, Martinazzi-Struwe \cite{Mar-Stru}, and Struwe \cite{Struwe} respectively.

Keywords

quantization result elliptic equation critical exponential growth compact Riemannian surface blow-up analysis Euclidean space

Cite

@article{arxiv.1210.2807,
  title  = {Quantization for an elliptic equation with critical exponential growth on compact Riemannian surface without boundary},
  author = {Yunyan Yang},
  journal= {arXiv preprint arXiv:1210.2807},
  year   = {2014}
}

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43 pages

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