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Eigenvalues and the One-Dimensional p-Laplacian

✍ Scribed by Ravi P. Agarwal; Haishen Lü; Donal O'Regan

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
135 KB
Volume
266
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider the boundary value problem ϕ p u + λF t u = 0, with p > 1, t ∈ 0 1 , u 0 = u 1 = 0, and with λ > 0. The value of λ is chosen so that the boundary value problem has a positive solution. In addition, we derive an explicit interval for λ such that, for any λ in this interval, the existence of a positive solution to the boundary value problem is guaranteed. In addition, the existence of two positive solutions for λ in an appropriate interval is also discussed.  2002 Elsevier Science (USA)

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