JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (3): 62-67.doi: 10.6040/j.issn.1671-9352.0.2021.502

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Existence and nonexistence of blow-up solutions for a general k-Hessian equation

DUAN Dui-hua, GAO Cheng-hua*, WANG Jing-jing   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2022-03-15

Abstract: By applying the monotone iterative method,the existence and nonexistence of blow-up solutions for a general k-Hessian equation are studied under proper growth conditions of nonlinear term, and some interesting results are obtained.

Key words: monotone iterative method, k-Hessian equation, blow-up solutions, existence and nonexistence

CLC Number: 

  • O175.8
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