Geodesic
Comparison theorems for Riccati inequalities arising in the theory of PDEs with \(p\)-Laplacian
Electronic journal of differential equations, Tome 2011 (2011)
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.
Classification : 35J92, 35B05, 35B09
Keywords: PDE with p-Laplacian, power comparison theorem, Riccati inequality, half-linear ODE 
@article{EJDE_2011__2011__a28,
     author = {Do\v{s}l\'y,  Ond\v{r}ej and Fi\v{s}narov\'a,  Simona and Ma\v{r}{\'\i}k,  Robert},
     title = {Comparison theorems for {Riccati} inequalities arising in the theory of {PDEs} with {\(p\)-Laplacian}},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1213.35234},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a28/}
}
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Došlý,  Ondřej; Fišnarová,  Simona; Mařík,  Robert. Comparison theorems for Riccati inequalities arising in the theory of PDEs with \(p\)-Laplacian. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a28/