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Dead Core Problems for Singular Equations with
-Laplacian
Boundary Value Problems volume 2007, Article number: 018961 (2007)
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
.
References
Baxley JV, Gersdorff GS: Singular reaction-diffusion boundary value problems. Journal of Differential Equations 1995,115(2):441–457. 10.1006/jdeq.1995.1022
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
Agarwal RP, O'Regan D, Staněk S: Dead cores of singular Dirichlet boundary value problems with-Laplacian. in preparation
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
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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
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DOI: https://doi.org/10.1155/2007/18961
Keywords
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Positive Parameter