Nonlocal problems at critical growth in contractible domains

2015/04/02 by Mosconi, Sunra, Shioji, Naoki, Squassina, Marco
#34K37 #58K05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.00551

Abstract

We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.

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