Skip to main content

Dead Core Problems for Singular Equations with -Laplacian

Abstract

The paper discusses the existence of positive solutions, dead core solutions, and pseudo dead core solutions of the singular problem,,. Here is a positive parameter,,,, may be singular at and is singular at.

[1234]

References

  1. Baxley JV, Gersdorff GS: Singular reaction-diffusion boundary value problems. Journal of Differential Equations 1995,115(2):441–457. 10.1006/jdeq.1995.1022

    MATH  MathSciNet  Article  Google Scholar 

  2. Bobisud LE: Behavior of solutions for a Robin problem. Journal of Differential Equations 1990,85(1):91–104. 10.1016/0022-0396(90)90090-C

    MATH  MathSciNet  Article  Google Scholar 

  3. Agarwal RP, O'Regan D, Staněk S: Dead cores of singular Dirichlet boundary value problems with-Laplacian. in preparation

  4. Cabada A, Pouso RL: Existence results for the problem with nonlinear boundary conditions. Nonlinear Analysis: Theory, Methods & Applications 1999,35(2):221–231. 10.1016/S0362-546X(98)00009-1

    MATH  MathSciNet  Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ravi P Agarwal.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Agarwal, R.P., O'Regan, D. & Staněk, S. Dead Core Problems for Singular Equations with -Laplacian. Bound Value Probl 2007, 018961 (2007). https://doi.org/10.1155/2007/18961

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2007/18961

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Positive Parameter