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| EXISTENCE OF UNBOUNDED SOLUTIONS FOR A n-TH ORDER BVPS WITH A p-LAPLACIAN |
| Gaosheng Yan,Hairong Lian,Xinyu Fang,Yue Gao |
| (School of Science, China University of Geosciences, Beijing, 100083, PR China) |
| DOI： |
| Abstract: |
| This paper considers the solvability of boundary value problems with a $p$-Laplacian
\begin{equation*}
\left\{
\begin{aligned}
&-(\phi_p(u^{(n-1)}(t)))'=q(t)f(t,\,u(t), \cdots, u^{(n-1)}(t)), \ \ \ 0
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| Key words: $p$-Laplacian; upper solutions; lower solutions; infinite interval; degree theory |