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http://dx.doi.org/10.4134/BKMS.2010.47.2.411

POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR p-LAPLACIAN WITH SIGN-CHANGING NONLINEAR TERMS  

Li, Xiangfeng (DEPARTMENT OF MATHEMATICS LONGDONG UNIVERSITY)
Xu, Wanyin (DEPARTMENT OF MATHEMATICS LONGDONG UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.2, 2010 , pp. 411-422 More about this Journal
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, 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;
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