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›› 2014, Vol. 31 ›› Issue (1): 5-9.DOI: 10.7523/j.issn.2095-6134.2014.01.002

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Positive solutions to Kirchhoff-type problem with singular nonlinearity

CAO Xiaoqiang, SUN Yijing   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2012-12-25 Revised:2013-04-08 Online:2014-01-15

Abstract:

We consider the following problem:
where a>0,b>0,1<p<+∞, and f is a positive and measurable function defined on Ω. The necessary and sufficient condition for the existence of weak solutions to such a Kirchhoff-type problem is given.

Key words: Kirchhoff-type equation, positive solutions, Ekeland’s variational principle

CLC Number: