Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

The fibering map approach to a quasilinear degenerate p(x)-Laplacian equation

Document Type : Research Paper

Authors
Department of‎ ‎Mathematics‎, ‎Iran‎ ‎University of Science and Technology‎, ‎Tehran‎, ‎Iran
Abstract
‎By considering a degenerate $p(x)-$Laplacian equation‎, ‎a generalized compact embedding in weighted variable‎ ‎exponent Sobolev space is presented‎. ‎Multiplicity of positive solutions are discussed by applying fibering map approach for the‎ ‎corresponding Nehari manifold‎. 
Keywords
Subjects

Volume 41, Issue 6 - Serial Number 6
December 2015
Pages 1477-1492

  • Receive Date 25 December 2013
  • Revise Date 23 June 2014
  • Accept Date 23 July 2014