Geodesic
Positive solutions for the \(\Phi\)-Laplacian when \(\Phi\) is a sup-multiplicative-like function
Electronic journal of differential equations, Tome 2004 (2004)
We provide sufficient conditions for the existence of positive solutions of a boundary-value problem for a one dimensional $\Phi$-Laplacian ordinary differential equation with deviating arguments, where $\Phi$ is a sup-multiplicative-like function (in a sense introduced here) and the boundary conditions include nonlinear expressions at the end points. For this end, we use the Krasnoselskii fixed point theorem in a cone. The results obtained improve and generalize known results in [17] and elsewhere.
Classification : 34B15, 34B18
Keywords: boundary value problems, positive solutions, Krasnoselskii's fixed point theorem 
@article{EJDE_2004__2004__a44,
     author = {Karakostas,  George L.},
     title = {Positive solutions for the {\(\Phi\)-Laplacian} when {\(\Phi\)} is a sup-multiplicative-like function},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1057.34009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a44/}
}
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%T Positive solutions for the \(\Phi\)-Laplacian when \(\Phi\) is a sup-multiplicative-like function
%J Electronic journal of differential equations
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%V 2004
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Karakostas,  George L. Positive solutions for the \(\Phi\)-Laplacian when \(\Phi\) is a sup-multiplicative-like function. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a44/