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.
|Rivista||Topological Methods in Nonlinear Analysis|
|Stato di pubblicazione||Pubblicato - 2016|
- Nonlocal problems