A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space

We show that a system of quasilinear degenerate elliptic inequalities does not have non-trivial solutions for a certain range of parameters in the system. The proof relies on a suitable choice of the test function in the weak formulation of the inequalities.

Bibliographic Details
Main Authors: Mokthar Kirane, Eric Nabana
Format: Article
Language:English
Published: Texas State University 2002-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/56/abstr.html
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author Mokthar Kirane
Eric Nabana
author_facet Mokthar Kirane
Eric Nabana
author_sort Mokthar Kirane
collection DOAJ
description We show that a system of quasilinear degenerate elliptic inequalities does not have non-trivial solutions for a certain range of parameters in the system. The proof relies on a suitable choice of the test function in the weak formulation of the inequalities.
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spelling doaj.art-67d7b807bf3a43d68c8c28afe1d129b72022-12-21T19:09:04ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-06-01200256111A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-spaceMokthar KiraneEric NabanaWe show that a system of quasilinear degenerate elliptic inequalities does not have non-trivial solutions for a certain range of parameters in the system. The proof relies on a suitable choice of the test function in the weak formulation of the inequalities.http://ejde.math.txstate.edu/Volumes/2002/56/abstr.htmlElliptic systemsnonexistence.
spellingShingle Mokthar Kirane
Eric Nabana
A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space
Electronic Journal of Differential Equations
Elliptic systems
nonexistence.
title A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space
title_full A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space
title_fullStr A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space
title_full_unstemmed A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space
title_short A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space
title_sort nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half space
topic Elliptic systems
nonexistence.
url http://ejde.math.txstate.edu/Volumes/2002/56/abstr.html
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