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.
Do'O, J. M., Miyagaki, O. H., Squassina, M., Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity, <<TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS>>, 2016; N/A (N/A): N/A-N/A. [doi:10.12775/TMNA.2016.045] [http://hdl.handle.net/10807/87082]
Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
Squassina, MarcoUltimo
2016
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.
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