Nontrivial solutions on a kind of fourth-order Neumann boundary value problems
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摘要
Nontrivial solutions for the fourth-order Neumann boundary value problem u(4)(t) − 2u″(t) + u(t) = f(t, u(t)) for all t ∈ (0, 1) and subject to u′(0) = u′(1) = u‴(0) = u‴(1) = 0 are obtained via Morse theory. To compute the critical groups at infinity of the relevant functional, we propose an approach by combining the homotopy and reduction methods.
论文关键词：Neumann boundary value problem,Critical groups,Lyapunov–Schmidt reduction
论文评审过程：Available online 20 January 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2011.12.072
