Acta mathematica scientia,Series A

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On the Evolution p-Laplacian Equation with Singular Coefficients

Zeng Youdong   

  1. (Department of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002)
  • Received:2006-10-27 Revised:2008-03-28 Online:2008-08-25 Published:2008-08-25

Abstract: The author considers the solvability of the initial-boundary value problem in an n-ball for the evolution p-Laplacian equation with singular coefficients which are singular not only at the boundary of the n-ball but also at the origin x=0. The existence and nonexistence of global radial solutions are proved under some conditions related to parameters p, τ, λ and q.

Key words: Global solution, Singular coefficient, p-Laplacian equation

CLC Number: 

  • 35J65
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