Geodesic
Critical Neumann problem for nonlinear elliptic systems in exterior domains
Electronic Journal of Differential Equations, Tome 2008 (2008).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a98/}
}
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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/