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A Generalized Upper and Lower Solution Method for Singular Discrete Boundary Value Problems for the One-Dimensional p-Laplacian
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D. Q. Jiang
Published/Copyright:
June 9, 2010
Abstract
This paper presents new existence results for singular discrete boundary value problems for the one-dimension p-Laplacian. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign. Our results are new even for p = 2.
Key words and phrases.: Upper and lower solutions; discrete boundary value problem; existence; singular
Received: 2003-02-10
Revised: 2003-06-26
Published Online: 2010-06-09
Published in Print: 2005-June
© Heldermann Verlag
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Keywords for this article
Upper and lower solutions;
discrete boundary value problem;
existence;
singular
Articles in the same Issue
- On Nicely Definable Forcing Notions
- Sufficiency and Duality in Multiobjective Programming with Generalized (F, ρ)-Convexity
- A Generalized Upper and Lower Solution Method for Singular Discrete Boundary Value Problems for the One-Dimensional p-Laplacian
- Separately Nowhere Constant Functions; n-Cube and α-Prism Densities
- The Notion of V-r-Invexity in Differentiable Multiobjective Programming
- Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L1 Data
- Solutions of Nonlinear Singular Boundary Value Problems
- Orthogonal Bases for Spaces of Complex Spherical Harmonics
- Blow up for the Wave Equation with a Fractional Damping
- Hadamard Product of Certain Classes of Functions
