Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian

In this article, we study a Riccati inequality that appears in the theory of partial differential equations with p-Laplacian. Our results allow to compare existence and nonexistence of positive solutions for Riccati type inequalities which are associated with equations with different powers p.

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Bibliographic Details
Published in:Electronic journal of differential equations 2011-04, Vol.2011 (53), p.1-9
Main Authors: Ondrej Dosly, Simona Fisnarova, Robert Marik
Format: Article
Language:English
Subjects:
half-linear ODE
PDE with p-Laplacian
power comparison theorem
Riccati inequality
Online Access:Get full text
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Summary:In this article, we study a Riccati inequality that appears in the theory of partial differential equations with p-Laplacian. Our results allow to compare existence and nonexistence of positive solutions for Riccati type inequalities which are associated with equations with different powers p.
ISSN:1072-6691