Geodesic
Existence and uniqueness of positive solutions for a BVP with a \(p\)-Laplacian on the half-line
Electronic journal of differential equations, Tome 2009 (2009)
In this work, we consider the second order multi-point boundary-value problem with a p-Laplacian

$\displaylines{ (\rho(t)\Phi_p(x'(t)))'+f(t, x(t), x'(t))=0,\quad t\in [0,+\infty),\cr x(0)=\sum_{i=1}^{m}\alpha_i x(\xi_i), \quad \lim_{t\to\infty}x(t)=0\,. }$

By applying a nonlinear alternative theorem, we establish existence and uniqueness of solutions on the half-line. Also a uniqueness result for positive solutions is discussed when $f$ depends on the first-order derivative. The emphasis here is on the one dimensional p-Laplacian operator.
Classification : 34B10, 34B18, 34B40
Keywords: multi-point boundary-value problem, p-Laplacian, half-line, positive solutions, existence, uniqueness 
@article{EJDE_2009__2009__a186,
     author = {Tian,  Yu and Ge,  Weigao},
     title = {Existence and uniqueness of positive solutions for a {BVP} with a {\(p\)-Laplacian} on the half-line},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1171.34013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a186/}
}
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Tian,  Yu; Ge,  Weigao. Existence and uniqueness of positive solutions for a BVP with a \(p\)-Laplacian on the half-line. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a186/