Bifurcation Method for Solving Multiple Positive Solutions to Boundary Value Problem of p-Henon Equation on the Unit Disk

LI Zhao-xiang; YANG Zhong-hua

doi:10.3879/j.issn.1000-0887.2010.04.010

Volume 31 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2010 > 31(4): 481-490

LI Zhao-xiang, YANG Zhong-hua. Bifurcation Method for Solving Multiple Positive Solutions to Boundary Value Problem of p-Henon Equation on the Unit Disk[J]. Applied Mathematics and Mechanics, 2010, 31(4): 481-490. doi: 10.3879/j.issn.1000-0887.2010.04.010

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Bifurcation Method for Solving Multiple Positive Solutions to Boundary Value Problem of p-Henon Equation on the Unit Disk

doi: 10.3879/j.issn.1000-0887.2010.04.010

LI Zhao-xiang^1,2,
YANG Zhong-hua^1,2

1.
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China;
Scientific Computing Key Laboratory of Shanghai University, Shanghai 200234, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-02-22
Publish Date: 2010-04-15

Abstract

Abstract

An algorithm which was applied to solving theO(2)symmetric positive solutions to the boundary value problem ofp-Henon equation was proposed.Taking linp-Henon equation as a bifurcation parameter,the symmetry-breaking bifurcation point on the branch of theO(2) symmetric positive solutions was found via the extended systems.Finally,other symmetric positive solutions were computed by the branch switching method based on the Liapunov-Schmid treduction.
- p-Henon equation,
- symmetry-breaking bifurcation,
- multiple solutions,
- extended system,
- branch switching

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References

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