Abstract
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.
Citation
João Marcos do Ó. Olímpio H. Miyagaki. Marco Squassina. "Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity." Topol. Methods Nonlinear Anal. 48 (2) 477 - 492, 2016. https://doi.org/10.12775/TMNA.2016.045
Information