Geodesic
Critical Neumann problem for nonlinear elliptic systems in exterior domains
Electronic journal of differential equations, Tome 2008 (2008)
In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $\lambda, \mu\geq0$ are parameters, we examine the common effect of the mean curvature of the boundary $\partial \Omega $ and the shape of the graph of the coefficient $Q(x)$ on the existence of the least energy solutions.
Classification : 35J50, 35J60
Keywords: Neumann problem, elliptic systems, exterior domains, critical Sobolev exponent, least energy solutions 
@article{EJDE_2008__2008__a98,
     author = {Deng,  Shengbing and Yang,  Jianfu},
     title = {Critical {Neumann} problem for nonlinear elliptic systems in exterior domains},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1173.35446},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a98/}
}
TY  - JOUR
AU  - Deng,  Shengbing
AU  - Yang,  Jianfu
TI  - Critical Neumann problem for nonlinear elliptic systems in exterior domains
JO  - Electronic journal of differential equations
PY  - 2008
VL  - 2008
UR  - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a98/
LA  - en
ID  - EJDE_2008__2008__a98
ER  - 
%0 Journal Article
%A Deng,  Shengbing
%A Yang,  Jianfu
%T Critical Neumann problem for nonlinear elliptic systems in exterior domains
%J Electronic journal of differential equations
%D 2008
%V 2008
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a98/
%G en
%F EJDE_2008__2008__a98
Deng,  Shengbing; Yang,  Jianfu. Critical Neumann problem for nonlinear elliptic systems in exterior domains. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a98/