Positive solutions for singular nonlinear beam equation
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Date
2007-01-02
Authors
Song, Ruhao
Lu, Haishen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In paper, we study the existence of solutions for the singular p-Laplacian equation
(|u″|p-2u″)″ - ƒ(t, u) = 0, t ∈ (0, 1)
u(0) = u(1) = 0,
u″(0) = u″(1) = 0,
where ƒ(t, u) is singular at t = 0, 1 and at u = 0. We prove the existence of at least one solution.
Description
Keywords
p-laplacian, Singular, Fixed point theorem
Citation
Song, H., & Lu, H. (2007). Positive solutions for singular nonlinear beam equation. Electronic Journal of Differential Equations, 2007(03), pp. 1-9.
Rights
Attribution 4.0 International