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

被引：51

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

页码：897 / 908

页数：12

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[No title captured]

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