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).

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

Summary: 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__a86,
     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},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a86/}
}
TY  - JOUR
AU  - Tian, Yu
AU  - Ge, Weigao
TI  - Existence and uniqueness of positive solutions for a BVP with a $p$-Laplacian on the half-line
JO  - Electronic Journal of Differential Equations
PY  - 2009
VL  - 2009
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a86/
LA  - en
ID  - EJDE_2009__2009__a86
ER  - 
%0 Journal Article
%A Tian, Yu
%A Ge, Weigao
%T Existence and uniqueness of positive solutions for a BVP with a $p$-Laplacian on the half-line
%J Electronic Journal of Differential Equations
%D 2009
%V 2009
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a86/
%G en
%F EJDE_2009__2009__a86
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__a86/