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 Positive solutions of boundary value problems for $p$-Laplacian with sign-changing nonlinear terms Bull. Korean Math. Soc. 2010 Vol. 47, No. 2, 411-422 https://doi.org/10.4134/BKMS.2010.47.2.411Printed March 1, 2010 Xiangfeng Li and Wanyin Xu Longdong University and Longdong University Abstract : 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 Downloads: Full-text PDF