exact number of solutions for a neumann problem involving the p-laplacian
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ID: 169454
2014
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Abstract
We study the exact number of solutions of the quasilinear Neumann
boundary-value problem
$$\displaylines{
(\varphi_p(u'(t)))'+g(u(t))=h(t)\quad\text{in } (a,b),\cr
u'(a)=u'(b)=0,
}$$
where $\varphi_p(s)=|s|^{p-2}s$ denotes the one-dimensional
p-Laplacian. Under appropriate hypotheses on g and h,
we obtain existence, multiplicity, exactness and
non existence results. The existence of solutions is
proved using the method of upper and lower solutions.
| Reference Key |
sanchez2014electronicexact
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|---|---|
| Authors | ;Justino Sanchez;Vicente Vergara |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2014 |
| DOI |
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