Existence of positive solutions to a semi-linear elliptic system with a small energy/charge ratio

Details Existence of positive solutions to a semi-linear elliptic system with a small energy/charge ratio Existence of positive solutions to a semi-linear elliptic system with a small energy/charge ratio

2011-10-29

arxiv.org/abs/1110.6495v1

Mathematics

Analysis of PDEs

14 pages, Latex

Scientific paper

We prove the existence of positive solutions to a sys- tem of k non-linear
elliptic equations corresponding to standing- wave k-uples solutions to a
system of non-linear Klein-Gordon equations. Our solutions are characterised by
a small energy/charge ratio, appropriately defined.

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