Ondrej Dosly, Simona Fisnarova, Robert Marik
Abstract:
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.
Submitted February 18, 2011. Published April 13, 2011.
Math Subject Classifications: 35J92, 35B05, 35B09.
Key Words: PDE with p-Laplacian; power comparison theorem;
Riccati inequality; half-linear ODE.
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Ondrej Dosly Department of Mathematics and Statistics Masaryk University, Kotlarska 2, CZ-611 37 Brno, Czech Republic email: dosly@math.muni.cz |
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Simona Fisnarova Department of Mathematics, Mendel University Zemedelska 1, 613 00 Brno, Czech Republic email: fisnarov@mendelu.cz |
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Robert Marik Department of Mathematics, Mendel University Zemedelska 1, 613 00 Brno, Czech Republic email: marik@mendelu.cz |
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