源自人口动力学的半线性p-Laplace的Dirichlet问题解

R·A·玛氏耶弗; G·艾利索伊; S·奥格拉斯

doi:10.3879/j.issn.1000-0887.2010.02.012

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

源自人口动力学的半线性p-Laplace的Dirichlet问题解

doi: 10.3879/j.issn.1000-0887.2010.02.012

戴高大学数学系,迪亚巴克尔 21280,土耳其;

详细信息

中图分类号: O152.1
计量
- 文章访问数: 1198
- HTML全文浏览量: 106
- PDF下载量: 727
- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2009-11-05
- 刊出日期: 2010-02-15

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

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

摘要

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．
- 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.
- p-Lap lace /
- sign-changing weight function /
- Morse critical groups

HTML全文

参考文献(11)

[1]	Namba T. Density-dependent dispersal and spatial distribution of a population [J]. J Theoret Biol,1980,86(2): 351-363. doi: 10.1016/0022-5193(80)90011-9
[2]	Carriao P,Miyagaki O. Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems [J].J Math Anal Appl,1999,230(1):157-172. doi: 10.1006/jmaa.1998.6184
[3]	Hahan W. Stability of Monotone[M]. Berlin，New York: Springer-Verlag,1967.
[4]	Alama S. Semilinear elliptic equations with sublinear indefinite nonlinearities [J]. Adv Differ Equations,1999,4(6): 813-842.
[5]	Bartsch T,Wang Z-Q. On the existence of sing changing solutions for semilinear Dirichlet problems [J]. Topology Methods Nonlinear Anal,1997,28: 115-131.
[6]	Dancer E N,Du Y. The generalized Conley index and multiple solutions of semilinear elliptic problems [J]. Abstract Appl Anal,1996,1(1): 103-135. doi: 10.1155/S108533759600005X
[7]	Moroz V. On the Morse critical groups for indefinite sublinear elliptic problems [J]. Nonlinear Anal,2003,52(5): 1441-1453. doi: 10.1016/S0362-546X(02)00174-8
[8]	Perera K. Nontrivial critical groups in p-Laplacian problems via the Yang index [J]. Topol Methods Nonlinear Anal,2003,21(2): 301-309.
[9]	Mawhin J,Willem M. Critical Point Theory and Hamiltonian Systems[M]. Berlin: Springer,1989.
[10]	Chang K C. Infinite Dimensional Morse Theory and Multiple Solution Problems[M]. Boston: Birkhuser,1993.
[11]	Jiu Q,Su J. Existence and multiplicity results for Dirichlet problems with p-Laplacian [J].J Math Anal Appl,2003,281(2):587-601. doi: 10.1016/S0022-247X(03)00165-3

施引文献

资源附件(0)

访问统计

计量

文章访问数: 1198
HTML全文浏览量: 106
PDF下载量: 727
被引次数: 0

留言板

源自人口动力学的半线性p-Laplace的Dirichlet问题解

doi: 10.3879/j.issn.1000-0887.2010.02.012

计量

出版历程

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

计量

出版历程

目录