A UNIFORM GROWTH ESTIMATES OF SOLUTIONS OF ASYMPTOTICALLY ELLIPTIC OPERATORS

作     者：ZHANG LIQUN(Institute of Mathematics, Academia Sinica, Beijing 100080, China.) ZHANG LIQUN(Institute of Mathematics, Academia Sinica, Beijing 100080, China.)

作者机构：Institute of Mathematics Academia Sinica Beijing 100080 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2000年第21卷第2期

页      面：259-268页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China 

主　　题：Harmonic functions Polynomial growth Eigenvalue Laplacian operator 

摘      要：This paper introduces a generic eigenvalue flow of a parameter family of operators, where the corresponding eigenfunction is continuous in parameters. Then the author applies the result to the study of polynomial growth L-harmonic functions. Under the assumption that the operator has some weakly conic structures at infinity which is not necessarily unique, a Harnack type uniform growth estimate is obtained.