Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
Keywords
Trudinger-Moser inequality, fractional Laplacian, ground statesAbstract
We investigate the existence of ground state solutions for a class of nonlinear scalar field equations defined on the 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.References
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