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

Liouville-type results in â„ÂN or in the half-space â„Â+N 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 up≤−Δm...

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Bibliographic Details
Main Author: Sebastián Lorca
Format: Article
Language:English
Published: SpringerOpen 2007-03-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/65126
Description
Summary:Liouville-type results in â„ÂN or in the half-space â„Â+N 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 up≤−Δmu≤Cup, in the half-space.
ISSN:1025-5834
1029-242X