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.
Mosconi, S., Shioji, N., Squassina, M., Nonlocal problems at critical growth in contractible domains, <<ASYMPTOTIC ANALYSIS>>, 2015; (95): 79-100. [doi:10.3233/ASY-151324] [http://hdl.handle.net/10807/87051]
Nonlocal problems at critical growth in contractible domains
Squassina, MarcoUltimo
2015
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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