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 $\lambda$ 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 $\lambda$.

Key words: Quasilinear elliptic equation, Bifurcation, Truncation techniques

CLC Number: 

  • O175.3
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