arXiv:1810.03265 Abstract | arXiv Analytics

arXiv:1810.03265 [math.AP]Abstract References Reviews Resources

Liouville type results for system of equations involving fractional Laplacian in the exterior domain

Published 2018-10-08Version 1

In this article we present a simple and unified probabilistic approach to prove nonexistence of positive super-solutions for system of equations involving potential terms and fractional Laplacian in the exterior domain. The class of problems we consider in this article is quite general compared to the literature.

Comments: 15 pages

Categories: math.AP, math.PR

Subjects: 35A01, 35J60

Keywords: liouville type results, fractional laplacian, exterior domain, unified probabilistic approach, potential terms

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