JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (10): 40-48.doi: 10.6040/j.issn.1671-9352.0.2019.157

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Existence of positive solution for a class of N-Kirchhoff type equation

CHEN Lin   

  1. College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China
  • Published:2019-10-12

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Abstract: This paper studies the existence of positive solution for a class of N-Kirchhoff type problem whose nonlinearity depends on the gradient of the solution. Applying a variational method and an iterative technique, the analysis proves that the problem has at least one positive week solution.

Key words: N-Kirchhoff equation, N-Kirchhoff problem, gradient term, mountain pass theorem, iterative method

CLC Number: 

  • O175.2
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