arXiv:1309.7499 Abstract | arXiv Analytics

arXiv:1309.7499 [math.AP]Abstract References Reviews Resources

Semilinear equations involving the fractional Laplacian on domains

Published 2013-09-28Version 1

Applying the method of moving planes in integral forms, we establish radial symmetry for positive solutions to a class of semilinear equations involving the fractional Laplacian in the unit ball and obtain Liouville type theorems concerning the non-existence of positive solutions in the half space. The regularity of solutions are also investigated.

Categories: math.AP

Subjects: 35R09

Keywords: fractional laplacian, semilinear equations, positive solutions, establish radial symmetry, unit ball

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