Geodesic
Weak solutions to discrete nonlinear two-point boundary-value problems of Kirchhoff type
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we prove the existence of weak solutions to a family of discrete boundary-value problems whose right-hand side belongs to a discrete Hilbert space. As an extension, we prove the existence of weak solutions for problems whose right-hand side depends on the solution.
Classification : 47A75, 35B38, 35P30, 34L05, 34L30
Keywords: Kirchhoff type problems, discrete boundary-value problem, critical point, weak solution, electrorheological fluids 
@article{EJDE_2015__2015__a68,
     author = {Kone,  Blaise and Nyanquini,  Ismael and Ouaro,  Stanislas},
     title = {Weak solutions to discrete nonlinear two-point boundary-value problems of {Kirchhoff} type},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1327.47013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a68/}
}
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Kone,  Blaise; Nyanquini,  Ismael; Ouaro,  Stanislas. Weak solutions to discrete nonlinear two-point boundary-value problems of Kirchhoff type. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a68/