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
Nonlocal problems at critical growth in contractible domains
MOSCONI, SUNRA JOHANNES NICOLAJ;SQUASSINA, Marco
2015-01-01
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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