375 research outputs found
Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
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.Comment: 13 page
Nonautonomous fractional problems with exponential growth
We study a class of nonlinear non-autonomous nonlocal equations with
subcritical and critical exponential nonlinearity. The involved potential can
vanish at infinity.Comment: 12 page
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