We investigate the existence of ground state solutions for a class of nonlinear scalar field equations defined on whole real line, involving a fractional Laplacian and nonlinearities with Trudinger-Moser critical growth. We handle the lack of compactness of the associated energy functional due to the unboundedness of the domain and the presence of a limiting case embedding.

Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity

SQUASSINA, Marco
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Abstract

We investigate the existence of ground state solutions for a class of nonlinear scalar field equations defined on whole real line, involving a fractional Laplacian and nonlinearities with Trudinger-Moser critical growth. We handle the lack of compactness of the associated energy functional due to the unboundedness of the domain and the presence of a limiting case embedding.
fractional laplacian, exponential growth, critical growth
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/926771
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