Geodesic
A singular ODE related to quasilinear elliptic equations
Electronic journal of differential equations, Tome 2000 (2000)
We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions. All results are based on the study of a suitable singular ODE of the first order. We also introduce a comparison principle for a class of nonlinear integral operators of Volterra type that enables to obtain uniqueness of weak solutions of the quasilinear equation.
Classification : 35J60, 35B65, 34C10
Keywords: p-Laplacian, spherically symmetric, existence, non-existence, uniqueness, comparison principle, singular ODE, regularity 
@article{EJDE_2000__2000__a156,
     author = {Korkut,  Luka and Pa\v{s}i\'c,  Mervan and \v{Z}ubrini\'c},
     title = {A singular {ODE} related to quasilinear elliptic equations},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0939.35064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a156/}
}
TY  - JOUR
AU  - Korkut,  Luka
AU  - Pašić,  Mervan
AU  - Žubrinić
TI  - A singular ODE related to quasilinear elliptic equations
JO  - Electronic journal of differential equations
PY  - 2000
VL  - 2000
UR  - http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a156/
LA  - en
ID  - EJDE_2000__2000__a156
ER  - 
%0 Journal Article
%A Korkut,  Luka
%A Pašić,  Mervan
%A Žubrinić
%T A singular ODE related to quasilinear elliptic equations
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a156/
%G en
%F EJDE_2000__2000__a156
Korkut,  Luka; Pašić,  Mervan; Žubrinić. A singular ODE related to quasilinear elliptic equations. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a156/