Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2010.03.31
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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.

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References

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