We prove that the critical problem for the fractional Laplacian in an annular type domain admits a positive solution provided that the inner hole is sufficiently small.
Secchi, S., Shioji, N., Squassina, M., Coron problem for fractional equations, <<DIFFERENTIAL AND INTEGRAL EQUATIONS>>, 2015; 28 (N/A): 103-118 [http://hdl.handle.net/10807/87243]
Coron problem for fractional equations
Squassina, MarcoUltimo
2015
Abstract
We prove that the critical problem for the fractional Laplacian in an annular type domain admits a positive solution provided that the inner hole is sufficiently small.
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