Journal of Jilin University Science Edition

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Lower Bounds for the Blowup Time of Solutions toa Class of p-Laplace Equation with Variable Sources

MENG Fanhui1, GAO Wenjie2   

  1. 1. Changchun Finance College, Changchun 130028, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2013-11-26 Online:2014-05-26 Published:2014-08-27
  • Contact: GAO Wenjie E-mail:wjgao@jlu.edu.cn

Abstract:

This paper deals with the blowup properties of solutions to a class of p-Laplace equation with variable sources. Constructing suitable auxiliary functions and  making use of the first order differential inequality technique, the authors obtained a lower bound for the blowup time of solutions to such equations under Dirichlet boundary conditions.

Key words: variable source, p-Laplace equation, lower bound for the blowup time

CLC Number: 

  • O175.8