Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (5): 1235-1247.

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Bifurcation of Positive Solutions for Quasilinear Elliptic Equations with Φ-Laplacian Operator and Concave-Convex Nonlinearities

Mingmin Wang(),Gao Jia*()   

  1. School of Science, University of Shanghai for Science and Technology, Shanghai 200093
  • Received:2019-10-15 Online:2020-10-26 Published:2020-11-04
  • Contact: Gao Jia E-mail:745136863@qq.com;gaojia89@163.com
  • Supported by:
    the NSFC(11171220)

Abstract:

In this paper, we study the bifurcation of positive solutions about parameter λ for the quasilinear elliptic equations with Φ-Laplacian operator and concave-convex nonlinearities by using the critical point theory, appropriate truncation and comparison techniques. Furthermore, we obtain the existence of the smallest positive solution and the monotonicity with respect to parameter λ.

Key words: Quasilinear elliptic equation, Bifurcation, Truncation techniques

CLC Number: 

  • O175.3
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