Dead cores of singular Dirichlet boundary value problems with ϕ-Laplacian

被引：0
作者：
Ravi P. Agarwal
Donal O’Regan
Svatoslav Staněk
机构：
[1] Florida Institute of Technology,Department of Mathematical Sciences
[2] National University of Ireland,Department of Mathematics
[3] Palacký University,Department of Mathematical Analysis, Faculty of Science
来源：
Applications of Mathematics | 2008年 / 53卷
关键词：
singular Dirichlet boundary value problem; dead core; positive solution; dead core solution; pseudodead core solution; existence; -Laplacian;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (ϕ(u′))′ = λf(t, u, u′), u(0) = u(T) = A. Here λ is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.
引用
收藏
页码：381 / 399
页数：18
相关论文
共 14 条
  • [1] Agarwal R. P.(2007)Positive and dead core solutions of singular Dirichlet boundary value problems with Comput. Math. Appl. 54 255-266
  • [2] O’Regan D.(1995)-Laplacian J. Differ. Equations 115 441-457
  • [3] Staněk S.(1990)Singular reaction-diffusion boundary value problems J. Differential Equations 85 91-104
  • [4] Baxley J. V.(1990)Behavior of solutions for a Robin problem J. Math. Anal. Appl. 147 249-262
  • [5] Gersdorff G. S.(1988)Asymptotic dead cores for reaction-diffusion equations Appl. Anal. 28 245-256
  • [6] Bobisud L. E.(2005)Existence and nonexistence for a singular boundary value problem Math. Bohem. 130 409-425
  • [7] Bobisud L. E.(1997)Singular Dirichlet problem for ordinary differential equations with Differ. Equ. Dyn. Syst. 5 175-185
  • [8] Bobisud L. E.(undefined)-Laplacian undefined undefined undefined-undefined
  • [9] O’Regan D.(undefined)Existence of solutions to boundary value problems for a nonlinear second order equation with weak Carathéodory functions undefined undefined undefined-undefined
  • [10] Royalty W. D.(undefined)undefined undefined undefined undefined-undefined
12