Abstract
We show that for a class of second order divergence form elliptic equations on an infinite strip with the Dirichlet boundary condition, the space of fixed order exponential growth solutions is of finite dimension. An optimal estimation of the dimension is given. Examples also show that the finiteness property may not be true if one drops some of the conditions we make in our result.
Original language | English (US) |
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Pages (from-to) | 525-534 |
Number of pages | 10 |
Journal | Acta Mathematica Sinica, English Series |
Volume | 15 |
Issue number | 4 |
DOIs | |
State | Published - 1999 |
Keywords
- Elliptic equations
- Exponential growth function
- Mean value inequality
- Poincarés inequality
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics