Geodesic
Existence of solutions to $p$-Laplacian difference equations under barrier strips conditions
Electronic Journal of Differential Equations, Tome 2007 (2007).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the existence of solutions to the boundary-value problem $$\displaylines{ \Delta(\phi_p(\Delta u(k-1)))=f(k,u(k),\Delta u(k)),\quad k\in \mathbb{T}_{[1, N]}, \cr \Delta u(0)=A, \quad u(N+1)=B, }$$ with barrier strips conditions, where N is a fixed natural number greater than 1, $\phi_p(s)=|s|^{p-2}s$, p greater than 1.
Classification : 39A10
Keywords: second-order p-Laplacian difference equation, barrier strips, Leray-Schauder principle, existence 
@article{EJDE_2007__2007__a91,
     author = {Gao, Chenghua},
     title = {Existence of solutions to $p${-Laplacian} difference equations under barrier strips conditions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a91/}
}
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Gao, Chenghua. Existence of solutions to $p$-Laplacian difference equations under barrier strips conditions. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a91/