Geodesic
Sturm-Picone type theorems for second-order nonlinear elliptic differential equations
Electronic journal of differential equations, Tome 2014 (2014)
The aim of this article is to give Sturm-Picone type theorems for the pair of second-order nonlinear differential equations

$\displaylines{ (p_1(t)|x'|^{\alpha-1}x')'+q_1(t)f_1(x)=0 \cr (p_2(t)|y'|^{\alpha-1}y')'+q_2(t)f_2(y)=0,\quad t_1}$

in both regular and singular cases. Our results include some earlier results and generalize the well-known comparison theorems given by Sturm [19], Picone [18] and Leighton [5] which play a key role in the qualitative behaviour of the solutions.
Classification : 34C10, 34C15
Keywords: comparison theorem, Sturm-Picone theorem, half-linear, second order differential equations, singular equation, variational lemma 
@article{EJDE_2014__2014__a103,
     author = {Tiryaki,  Aydin},
     title = {Sturm-Picone type theorems for second-order nonlinear elliptic differential equations},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1304.35265},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a103/}
}
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JO  - Electronic journal of differential equations
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VL  - 2014
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%0 Journal Article
%A Tiryaki,  Aydin
%T Sturm-Picone type theorems for second-order nonlinear elliptic differential equations
%J Electronic journal of differential equations
%D 2014
%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a103/
%G en
%F EJDE_2014__2014__a103
Tiryaki,  Aydin. Sturm-Picone type theorems for second-order nonlinear elliptic differential equations. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a103/