Existence of Sign-Changing Solutions to Equations Involving the One-Dimensional p-Laplacian

We consider the equations involving the one-dimensional p-Laplacian (P):  (u′tp-2u′(t))′+λf(u(t))=0, 0<t<1, and u(0)=u(1)=0, where p>1,λ>0,f∈C1(R;R),f(s)s>0, and s≠0. We show the existence of sign-changing solutions under the assumptions f∞=...

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Bibliographic Details
Main Authors: Ruyun Ma, Lingfang Jiang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/810193
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