Positive solutions to elliptic equations in unbounded cylinder

Jun Bao; Lihe Wang; Chunqin Zhou

doi:10.3934/dcdsb.2016001

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Positive solutions to elliptic equations in unbounded cylinder

Journal article

Open access

Peer reviewed

Positive solutions to elliptic equations in unbounded cylinder

Jun Bao, Lihe Wang and Chunqin Zhou

Discrete and continuous dynamical systems. Series B, Vol.21(5), pp.1389-1400

04/2016

DOI: 10.3934/dcdsb.2016001

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Abstract

This paper investigates the positive solutions for second order linear elliptic equation in unbounded cylinder with zero boundary condition. We prove there exist two special positive solutions with exponential growth at one end while exponential decay at the other, and all the positive solutions are linear combinations of these two.

Details

Title: Subtitle: Positive solutions to elliptic equations in unbounded cylinder
Creators: Jun Bao
Lihe Wang
Chunqin Zhou
Resource Type: Journal article
Publication Details: Discrete and continuous dynamical systems. Series B, Vol.21(5), pp.1389-1400
DOI: 10.3934/dcdsb.2016001
ISSN: 1531-3492
eISSN: 1553-524X
Language: English
Date published: 04/2016
Academic Unit: Mathematics
Record Identifier: 9984083855402771

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