Existence of Positive Solutions for Higher Order p-Laplacian Boundary Value Problems
Existence of Positive Solutions for Higher Order p-Laplacian Boundary Value Problems
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DOI：
10.1007/s00009-017-1064-x
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发表时间：
2018-01
影响因子：
1.1
通讯作者：
K. R. Prasad;N. Sreedhar;L. T. Wesen
中科院分区：
文献类型：
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作者：
K. R. Prasad;N. Sreedhar;L. T. Wesen
In this paper, we consider a higher order p-Laplacian boundary value problem (-1)^ n ϕ _ p (u^(2n-2)+ k^ 2u^(2n-4))''= f (t, u),~~ 0 ≤ t ≤ 1,\u^(2i)(0)= 0= u^(2i)(1),~~ 0 ≤ i ≤ n-1,(-1) n ϕ p (u (2 n-2)+ k 2 u (2 n-4))′′= f (t, u), 0≤ t≤ 1, u (2 i)(0)= 0= u (2 i)(1), 0≤ i≤ n-1, where n ≥ 1 n≥ 1 and k ∈ (0, π 2) k∈(0, π 2) is a constant. By applying fixed point index theory, we derive sufficient conditions for the existence of positive solutions to the boundary value problem.
