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  • Research Article
  • Open Access

Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space

Journal of Inequalities and Applications20072007:065126

  • Received: 16 October 2006
  • Accepted: 9 February 2007
  • Published:


Liouville-type results in or in the half-space might be important to obtain a priori estimates for positive solutions of associated problems in bounded domains via some procedure of blow up. In this work, we obtain a nonexistence result for the positive solution of , in the half-space.


  • Bounded Domain
  • Elliptic Problem
  • Nonexistence Result
  • Quasilinear Elliptic Problem


Authors’ Affiliations

Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7-D, Arica, 1000007, Chile


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© Sebastián Lorca 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.