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Register a new userCompact embedding theorems and a Lions type Lemma for fractional Orlicz-Sobolev spaces
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Jos\\'e Carlos de Albuquerque
Publication date
2020
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English
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In this paper we are concerned with some abstract results regarding to fractional Orlicz-Sobolev spaces. Precisely, we ensure the compactness embedding for the weighted fractional Orlicz-Sobolev space into the Orlicz spaces, provided the weight is unbounded. We also obtain a version of Lions vanishing Lemma for fractional Orlicz-Sobolev spaces, by introducing new techniques to overcome the lack of a suitable interpolation law. Finally, as a product of the abstract results, we use a minimization method over the Nehari manifold to prove the existence of ground state solutions for a class of nonlinear Schr{o}dinger equations, taking into account unbounded or bounded potentials.
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