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