## Topological Methods in Nonlinear Analysis

### Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity

#### 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.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 48, Number 2 (2016), 477-492.

Dates
First available in Project Euclid: 21 December 2016

https://projecteuclid.org/euclid.tmna/1482289225

Digital Object Identifier
doi:10.12775/TMNA.2016.045

Mathematical Reviews number (MathSciNet)
MR3642769

Zentralblatt MATH identifier
1375.35184

#### Citation

do Ó, João Marcos; Miyagaki, Olímpio H.; Squassina, Marco. Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity. Topol. Methods Nonlinear Anal. 48 (2016), no. 2, 477--492. doi:10.12775/TMNA.2016.045. https://projecteuclid.org/euclid.tmna/1482289225

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