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| A UNIFORM GROWTH ESTIMATES OF SOLUTIONS OF ASYMPTOTICALLY ELLIPTIC OPERATORS |
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Citation： |
ZHANG Liqun.A UNIFORM GROWTH ESTIMATES OF SOLUTIONS OF ASYMPTOTICALLY ELLIPTIC OPERATORS[J].Chinese Annals of Mathematics B,2000,21(2):259~268 |
| Page view： 1157
Net amount： 774 |
Authors： |
ZHANG Liqun; |
Foundation： |
Project supported by the National Natural Science Foundation of China. |
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| Abstract： |
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. |
Keywords： |
Harmonic functions, Polynomial growth, Eigenvalue, Laplacian operator |
Classification： |
35J |
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