| 源自人口动力学的半线性p-Laplace的Dirichlet问题解 |
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| 引用本文： | R · A · 玛氏耶弗,G · 艾利索伊,S · 奥格拉斯,黄锋. 源自人口动力学的半线性p-Laplace的Dirichlet问题解[J]. 应用数学和力学, 2010, 31(2). DOI: 10.3879/j.issn.1000-0887.2010.02.012 |
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| 作者姓名： | R · A · 玛氏耶弗 G · 艾利索伊 S · 奥格拉斯 黄锋 |
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| 作者单位： | 1. 戴高大学,数学系,迪亚巴克尔,21280,土耳其
2. 伊诺努大学,数学科学系,马拉蒂亚,44280,土耳其 |
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| 摘 要： | 研究源自人口动力学的半线性p-Laplace方程的Dirichlet问题,得到了该问题在零点处的能量泛函是平凡的Morse临界群.因而,确定了该问题非平凡解的存在性及其分岔性.
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| 关 键 词： | p-Laplace方程 符号变化的权函数 Morse临界群 |
Solutions to Semilinear p-Laplacian Dirichlet Problem Arising in Population Dynamics |
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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). DOI: 10.3879/j.issn.1000-0887.2010.02.012 |
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| Authors: | R.A.Mashiyev G.Alisoy S.Ogras |
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| Affiliation: | R.A.Mashiyev1,G.Alisoy2,S.Ogras1(1.Department of Mathematics,Dicle University,21280-Diyarbakir,Turkey,2.Department of Mathematical Sciences,Inonu University,44280-Malatya,Turkey) |
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| Abstract: | The semilinear p-Laplacian Dirichlet problem arising in population dynamics was studied.The Morse critical groups at zero of the energy function of the problem being trivial was obtained.As a consequence,existence and bifurcation of nontrivial solutions to the problem were established. |
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| Keywords: | p-Laplace sign-changing weight function Morse critical groups |
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