arXiv:1302.6374 Abstract | arXiv Analytics

arXiv:1302.6374 [math.AP]Abstract References Reviews Resources

On strongly indefinite systems involving the fractional Laplacian

Published 2013-02-26, updated 2014-05-20Version 4

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.

Comments: 23 pages. The previous version had been written for the square root of Laplacian. We revised it with generalizsing the results for $(-Delta)_s$, $0<s<1$ in this version

Categories: math.AP

Keywords: fractional laplacian, study strongly indefinite systems, non-existence results, gidas-spruck type, symmetric property

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