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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (2): 247-254.doi: https://doi.org/10.1007/s10483-010-0212-6

• Articles • 上一篇    下一篇

Solutions to semilinear p-Laplacian Dirichlet problem in population dynamics

 R.A.MASHIYEV1 G.ALISOY2 S.OGRAS1   

  1. 1. Department of Mathematics, Dicle University, Diyarbakir 21280, Turkey;
    2. Department of Mathematical Sciences, Inonu University, Malatya 44280, Turkey
  • 收稿日期:2009-04-03 修回日期:2009-12-05 出版日期:2010-02-01 发布日期:2010-02-01

Solutions to semilinear p-Laplacian Dirichlet problem in population dynamics

 R.A.MASHIYEV1 G.ALISOY2 S.OGRAS1   

  1. 1. Department of Mathematics, Dicle University, Diyarbakir 21280, Turkey;
    2. Department of Mathematical Sciences, Inonu University, Malatya 44280, Turkey
  • Received:2009-04-03 Revised:2009-12-05 Online:2010-02-01 Published:2010-02-01

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852

被引次数

8

摘要： In this article, we study a semilinear p-Laplacian Dirichlet problem arising in population dynamics. We obtain the Morse critical groups at zero. The results show that the energy functional of the problem is trivial. As a consequence, the existence and bifurcation of the nontrivial solutions to the problem are established.

Abstract: In this article, we study a semilinear p-Laplacian Dirichlet problem arising in population dynamics. We obtain the Morse critical groups at zero. The results show that the energy functional of the problem is trivial. As a consequence, the existence and bifurcation of the nontrivial solutions to the problem are established.

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