Existence and Nonexistence of Positive Solutions of Semilinear Elliptic Equation With Inhomogeneous Strong Allee Effect

LIU Guan-qi; WANG Yu-wen; SHI Jun-ping

doi:10.3879/j.issn.1000-0887.2009.11.012

Volume 30 Issue 11

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LIU Guan-qi, WANG Yu-wen, SHI Jun-ping. Existence and Nonexistence of Positive Solutions of Semilinear Elliptic Equation With Inhomogeneous Strong Allee Effect[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1374-1380. doi: 10.3879/j.issn.1000-0887.2009.11.012

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Existence and Nonexistence of Positive Solutions of Semilinear Elliptic Equation With Inhomogeneous Strong Allee Effect

doi: 10.3879/j.issn.1000-0887.2009.11.012

1.
Y.Y.Tseng Functional Analysis Research Center and Department of Mathematics, Harbin Normal University, Harbin 150025, P. R. China;

Received Date: 2009-02-18
Rev Recd Date: 2009-09-28
Publish Date: 2009-11-15

Abstract

Abstract

A semilinear elliptic equation defined on a bounded smooth domain is studied. This type of problem arises from the studies of spatial ecology model, and the growth function in the equation was of strong Allee effect and inhom ogeneous. It was proved by variational methods that the equation has at least two positive solutions for a large parameter if it satisfies some appropriate conditions. Some nonexistence results were also proved.
- semilinear equation,
- Allee effect,
- positive solutions,
- existence

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References(9)

References

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