Geodesic
Existence of continuous and singular ground states for semilinear elliptic systems
Electronic Journal of Differential Equations, Tome 1998 (1998).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a3/}
}
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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/