We consider a general class of nonlocal problems involving the fractional Laplacian and singular nonlinearities and we deal with the variational characterization of the solutions. Even though solutions generally have not fractional Sobolev regularity, we provide a variational characterization of the solutions via a suitable action functional.
Variational properties of nonlocal singular problems
Canino, Annamaria;Montoro, Luigi;Sciunzi, Berardino
;Trombetta, Alessandro
2023-01-01
Abstract
We consider a general class of nonlocal problems involving the fractional Laplacian and singular nonlinearities and we deal with the variational characterization of the solutions. Even though solutions generally have not fractional Sobolev regularity, we provide a variational characterization of the solutions via a suitable action functional.File in questo prodotto:
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