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Bull. Korean Math. Soc. 2010; 47(2): 411-422
Printed March 1, 2010
https://doi.org/10.4134/BKMS.2010.47.2.411
Copyright © The Korean Mathematical Society.
Positive solutions of boundary value problems for $p$-Laplacian with sign-changing nonlinear terms
Xiangfeng Li and Wanyin Xu
Longdong University and Longdong University
By using the fixed point index theory, we investigate the existence of at least two positive solutions for $p$-Laplace equation with sign-changing nonlinear terms $ (\varphi_{p}(u'))'+a(t)f(t,u(t),u'(t))=0, $ subject to some boundary conditions. As an application, we also give an example to illustrate our results.
Keywords: $p$-Laplace equation, positive solution, boundary value problem, fixed point index theory
MSC numbers: 34B15, 34B16, 34B18
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