Abstract | ||
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We consider the following boundary value problem: (φp(y'))' + q(t)f(y) = 0, p 1, t ∈ [0, 1], with y(0) =y(1) = 0, or y(0) =y'(1) = 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem. An example is also included to illustrate the importance of the result obtained. |
Year | DOI | Venue |
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2002 | 10.1016/S0096-3003(01)00240-5 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Multiple positive solutions,Boundary value problems | Boundary value problem,Mathematical analysis,Banach space,Operator (computer programming),Partial differential equation,Fixed-point theorem,Mathematics,Laplace operator,p-Laplacian | Journal |
Volume | Issue | ISSN |
133 | 2-3 | 0096-3003 |
Citations | PageRank | References |
6 | 0.97 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Haishen Lü | 1 | 24 | 6.63 |
Donal O'Regan | 2 | 163 | 46.52 |
Chengkui Zhong | 3 | 33 | 8.44 |