Geodesic
Asymptotics for Semilinear Elliptic Systems
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 514-519

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A class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in RN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N ) as |x| —> ∞. Additional results concern the existence and structure of positive solutions u with finite energy in a neighbourhood of infinity.
DOI : 10.4153/CMB-1991-081-4
Mots-clés : 35J60, 35B05 
Noussair, Ezzat S.; Swanson, Charles A. Asymptotics for Semilinear Elliptic Systems. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 514-519. doi: 10.4153/CMB-1991-081-4
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     author = {Noussair, Ezzat S. and Swanson, Charles A.},
     title = {Asymptotics for {Semilinear} {Elliptic} {Systems}},
     journal = {Canadian mathematical bulletin},
     pages = {514--519},
     year = {1991},
     volume = {34},
     number = {4},
     doi = {10.4153/CMB-1991-081-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-081-4/}
}
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