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

• Li, Xiangfeng ;
• Xu, Wanyin
• Published : 2010.03.31
• 40 3

#### 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

#### References

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