Geodesic
Strictly positive solutions for one-dimensional nonlinear elliptic problems
Electronic journal of differential equations, Tome 2014 (2014)
We study the existence and nonexistence of strictly positive solutions for the elliptic problems $Lu=m(x) u^p$ in a bounded open interval, with zero boundary conditions, where $L$ is a strongly uniformly elliptic differential operator, $p\in(0,1)$, and $m$ is a function that changes sign. We also characterize the set of values $p$ for which the problem admits a solution, and in addition an existence result for other nonlinearities is presented.
Classification : 34B15, 34B18, 35J25, 35J61
Keywords: elliptic one-dimensional problems, indefinite nonlinearities, sub and supersolutions, positive solutions 
@article{EJDE_2014__2014__a135,
     author = {Kaufmann,  Uriel and Medri,  Iv\'an},
     title = {Strictly positive solutions for one-dimensional nonlinear elliptic problems},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1300.34057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a135/}
}
TY  - JOUR
AU  - Kaufmann,  Uriel
AU  - Medri,  Iván
TI  - Strictly positive solutions for one-dimensional nonlinear elliptic problems
JO  - Electronic journal of differential equations
PY  - 2014
VL  - 2014
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a135/
LA  - en
ID  - EJDE_2014__2014__a135
ER  - 
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%A Kaufmann,  Uriel
%A Medri,  Iván
%T Strictly positive solutions for one-dimensional nonlinear elliptic problems
%J Electronic journal of differential equations
%D 2014
%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a135/
%G en
%F EJDE_2014__2014__a135
Kaufmann,  Uriel; Medri,  Iván. Strictly positive solutions for one-dimensional nonlinear elliptic problems. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a135/