Solutions to Semilinear p-Laplacian Dirichlet Problem Arising in Population Dynamics

R. A. Mashiyev; G. Alisoy; S. Ogras

doi:10.3879/j.issn.1000-0887.2010.02.012

Volume 31 Issue 2

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R. A. Mashiyev, G. Alisoy, S. Ogras. Solutions to Semilinear p-Laplacian Dirichlet Problem Arising in Population Dynamics[J]. Applied Mathematics and Mechanics, 2010, 31(2): 227-235. doi: 10.3879/j.issn.1000-0887.2010.02.012

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Solutions to Semilinear p-Laplacian Dirichlet Problem Arising in Population Dynamics

doi: 10.3879/j.issn.1000-0887.2010.02.012

Department of Mathematics, Dicle University, 21280-Diyarbakir, Turkey;
Department of Mathematical Sciences, Inonu University, 44280-Malatya, Turkey

Received Date: 1900-01-01
Rev Recd Date: 2009-11-05
Publish Date: 2010-02-15

Abstract

Abstract

The semilinear p-Laplacian Dirichlet problem arising in population dynamics was studied.The Morse critical groupsat zero of the energy function of the problem being trivial was obtained.As a consequence,existence and bifu rcation of nontrivial solutions to the problem were established.
- p-Lap lace,
- sign-changing weight function,
- Morse critical groups

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References(11)

References

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