Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (1): 84-93.

• Article • Previous Articles     Next Articles

Liouville theorem about the variable exponent Laplacian(Chinese)

Wang Lin-feng   

  1. School of Science, Nantong University, Nantong, Jiangsu 226000, China
  • Received:2007-12-07 Revised:2008-02-15 Online:2009-01-25 Published:2009-01-25
  • Contact: Wang Lin-feng

Abstract:

A weak maximum principle for the variable exponent Laplace
on a complete noncompact Riemannian manifold under suitable
conditions about the growth of the volume was established, by which
a Liouville type theorem for the variable exponent Laplace was
proved.

Key words: Liouville type theorem, growth of the volume, variable exponent Laplace, Liouville type theorem, growth of the volume

CLC Number: