Geodesic
One-dimensional elliptic equation with concave and convex nonlinearities
Electronic journal of differential equations, Tome 2000 (2000)
We establish the exact number of positive solutions for the boundary-value problem

$\displaylines{ -(|u'|^{m-2} u')'=\lambda u^q + u^p\quad \hbox{in }(0,1)\cr u(0)= u(1)=0\,, }$

where $0\leq q less than m- 1 less than p$ and $\lambda$ is positive.
Classification : 34B15
Keywords: m-Laplacian, concave-convex nonlinearities, exactness results, time-maps 
@article{EJDE_2000__2000__a157,
     author = {S\'anchez,  Justino and Ubilla,  Pedro},
     title = {One-dimensional elliptic equation with concave and convex nonlinearities},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0955.34013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a157/}
}
TY  - JOUR
AU  - Sánchez,  Justino
AU  - Ubilla,  Pedro
TI  - One-dimensional elliptic equation with concave and convex nonlinearities
JO  - Electronic journal of differential equations
PY  - 2000
VL  - 2000
UR  - http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a157/
LA  - en
ID  - EJDE_2000__2000__a157
ER  - 
%0 Journal Article
%A Sánchez,  Justino
%A Ubilla,  Pedro
%T One-dimensional elliptic equation with concave and convex nonlinearities
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a157/
%G en
%F EJDE_2000__2000__a157
Sánchez,  Justino; Ubilla,  Pedro. One-dimensional elliptic equation with concave and convex nonlinearities. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a157/