Geodesic
Solutions to elliptic systems of Hamiltonian type in \(\mathbb{R}^N\)
Electronic journal of differential equations, Tome 1999 (1999)
The paper proves existence of a solution for elliptic systems of Hamiltonian type on ${\Bbb R}^N$ by a variational method. We use the Benci-Rabinowitz technique, which cannot be applied here directly for lack of compactness. However, a concentration compactness technique allows us to construct a finite-dimensional pseudogradient that restores the Benci-Rabinowitz method to power also for problems on unbounded domains.
Classification : 35J50
Keywords: cocentration compactness, elliptic systems, pseudogradient 
@article{EJDE_1999__1999__a7,
     author = {Tintarev,  K.},
     title = {Solutions to elliptic systems of {Hamiltonian} type in {\(\mathbb{R}^N\)}},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0928.35043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a7/}
}
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JO  - Electronic journal of differential equations
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VL  - 1999
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LA  - en
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%0 Journal Article
%A Tintarev,  K.
%T Solutions to elliptic systems of Hamiltonian type in \(\mathbb{R}^N\)
%J Electronic journal of differential equations
%D 1999
%V 1999
%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a7/
%G en
%F EJDE_1999__1999__a7
Tintarev,  K. Solutions to elliptic systems of Hamiltonian type in \(\mathbb{R}^N\). Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a7/