Geodesic
Existence of continuous and singular ground states for semilinear elliptic systems
Electronic journal of differential equations, Tome 1998 (1998)
We study existence results of a curve of continuous and singular ground states for the system

$ \eqalign{ -\Delta{u} \= {\alpha(|x|)}f(v) \cr -\Delta{v} \= \beta(|x|) g(u)\,. \cr }$

where

$ \eqalign{ \Delta u(x)+V(|x|)u+a(|x|)v^p \= 0 \cr \Delta v(x)+V(|x|)v+b(|x|)u^q \= 0\,.\cr} $

Classification : 35J60, 31A35
Keywords: semilinear elliptic systems, ground states 
@article{EJDE_1998__1998__a3,
     author = {Yarur,  Cecilia S.},
     title = {Existence of continuous and singular ground states for semilinear elliptic systems},
     journal = {Electronic journal of differential equations},
     year = {1998},
     volume = {1998},
     zbl = {0887.35050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a3/}
}
TY  - JOUR
AU  - Yarur,  Cecilia S.
TI  - Existence of continuous and singular ground states for semilinear elliptic systems
JO  - Electronic journal of differential equations
PY  - 1998
VL  - 1998
UR  - http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a3/
LA  - en
ID  - EJDE_1998__1998__a3
ER  - 
%0 Journal Article
%A Yarur,  Cecilia S.
%T Existence of continuous and singular ground states for semilinear elliptic systems
%J Electronic journal of differential equations
%D 1998
%V 1998
%U http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a3/
%G en
%F EJDE_1998__1998__a3
Yarur,  Cecilia S. Existence of continuous and singular ground states for semilinear elliptic systems. Electronic journal of differential equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a3/