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

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 47, Issue 2, 2010, pp.411-422
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2010.47.2.411

Title & Authors

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

Li, Xiangfeng; Xu, Wanyin;

Li, Xiangfeng; Xu, Wanyin;

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))

Keywords

p-Laplace equation;positive solution;boundary value problem;fixed point index theory;

Language

English

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