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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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
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spelling doaj-dbd2a9c6ede644958701c8a04752f3c02020-11-24T21:40:08ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-03-01200710.1155/2007/65126Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-SpaceSebastián LorcaLiouville-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.http://dx.doi.org/10.1155/2007/65126
collection DOAJ
language English
format Article
sources DOAJ
author Sebastián Lorca
spellingShingle Sebastián Lorca
Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space
Journal of Inequalities and Applications
author_facet Sebastián Lorca
author_sort Sebastián Lorca
title Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space
title_short Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space
title_full Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space
title_fullStr Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space
title_full_unstemmed Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space
title_sort nonexistence of positive solution for quasilinear elliptic problems in the half-space
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2007-03-01
description 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.
url http://dx.doi.org/10.1155/2007/65126
work_keys_str_mv AT sebasti225nlorca nonexistenceofpositivesolutionforquasilinearellipticproblemsinthehalfspace
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