Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (4): 785-795.

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Positive Solutions for Semipositive Nonlinear Dirichlet Problem with One-Dimensional Minkowski Mean Curvature Operator

LI Zhiqiang, LU Yanqiong   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2022-10-03 Online:2023-07-26 Published:2023-07-26

Abstract: By using the time mapping principle, we prove the existence and multiplicity of positive solutions for the  boundary value problem with one-dimensional Minkowski mean curvature operator in the semipositive case of nonlinear terms and the nonlinear term is generalized from f(0)≥0 to f(0)<0.

Key words: Minkowski mean curvature operator, positive solution, multiplicity, time map

CLC Number: 

  • O175.8