Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (6): 1376-1380.

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Singularity and Decay of Solutions for a Degenerate Semilinear Elliptic Equation

Dongyan Li1,Yan Dong2,*()   

  1. 1 School of Science, Xi'an Polytechnic University, Xi'an 710048
    2 Department of Applied Mathematics, Hubei University of Economics, Wuhan 430205
  • Received:2018-12-12 Online:2019-12-26 Published:2019-12-28
  • Contact: Yan Dong E-mail:w408867388w@126.com
  • Supported by:
    the NSFC(11701162);the Natural Science Foundation of Shaanxi Province(2016JQ1029);the Natural Science Foundation of Education Department of Shaanxi Province(16JK1320)

Abstract:

In this paper, we establish a singularity and decay of solutions for a degenerate semilinear elliptic equation based on re-scaling arguments combined with a doubling property. As an application, we derive a priori bounds of solutions of a boundary value problem.

Key words: a Priori bounds, Re-scaling, Singularity and decay

CLC Number: 

  • O175
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