Bubbling phenomena for fourth-order four-dimensional PDES with exponential growth

被引：50
|
作者：
Druet, O
Robert, F
机构：
[1] Ecole Normale Super Lyon, Unite Math Pures & Appliquees, F-69364 Lyon 7, France
[2] Univ Nice, Lab JA Dieudonne, F-06108 Nice 2, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 03期
关键词：
concentration estimates; fourth-order equations; compactness;
D O I：
10.1090/S0002-9939-05-08330-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned in this paper with the bubbling phenomenon for nonlinear fourth-order four-dimensional PDE's. The operators in the equations are perturbations of the bi-Laplacian. The nonlinearity is of exponential growth. Such equations arise naturally in statistical physics and geometry. As a consequence of our theorem we get a priori bounds for solutions of our equations.
引用
收藏
页码：897 / 908
页数：12
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