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arxiv: 1302.6374 · v4 · pith:EXOAEERTnew · submitted 2013-02-26 · 🧮 math.AP

On strongly indefinite systems involving the fractional Laplacian

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keywords fractionalindefiniteinvolvinglaplacianstronglysystemsboundeddomains
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In this paper we study strongly indefinite systems involving the fractional Laplacian on bounded domains. We obtain existence and non-existence results, $a priori$ estimates of Gidas-Spruck type, and the symmetric property.

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