Existence of solution for asymptotically linear systems in \(\mathbb R^N\)
Electronic journal of differential equations, Tome 2013 (2013)
We show the existence of solution for a strongly coupled elliptic system under three different conditions, namely: the autonomous case, the radial case, and a general case. For the autonomous case, we present a characterization of the solution.
Classification : 35J20, 35J60, 35Q55
Keywords: asymptotically linear, pohozaev identity, cerami sequence, concentration compactness
@article{EJDE_2013__2013__a70,
     author = {Lehrer,  Raquel},
     title = {Existence of solution for asymptotically linear systems in \(\mathbb {R^N\)}},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1291.35056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a70/}
}
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VL  - 2013
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%0 Journal Article
%A Lehrer,  Raquel
%T Existence of solution for asymptotically linear systems in \(\mathbb R^N\)
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a70/
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%F EJDE_2013__2013__a70
Lehrer,  Raquel. Existence of solution for asymptotically linear systems in \(\mathbb R^N\). Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a70/