Solutions to Semilinear p-Laplacian Dirichlet Problem Arising in Population Dynamics
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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
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.-
Key words:
- p-Lap lace /
- sign-changing weight function /
- Morse critical groups
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