Exponential Growth Solutions of Elliptic Equations

Fengbo Hang; Fanghua Lin

doi:10.1007/s10114-999-0084-2

Exponential Growth Solutions of Elliptic Equations

Fengbo Hang, Fanghua Lin

Mathematics

Research output: Contribution to journal › Article › peer-review

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)
Pages (from-to)	525-534
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	15
Issue number	4
DOIs	https://doi.org/10.1007/s10114-999-0084-2
State	Published - 1999

Keywords

Elliptic equations
Exponential growth function
Mean value inequality
Poincarés inequality

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1007/s10114-999-0084-2

Cite this

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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.",

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AU - Lin, Fanghua

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KW - Elliptic equations

KW - Exponential growth function

KW - Mean value inequality

KW - Poincarés inequality

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Exponential Growth Solutions of Elliptic Equations

Abstract

Keywords

ASJC Scopus subject areas

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