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

Marco Squassina, João Marcos Do Ó, Olímpio H. Miyagaki

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

13 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)N/A-N/A
RivistaTopological Methods in Nonlinear Analysis
VolumeN/A
Stato di pubblicazionePubblicato - 2016

Keywords

  • Nonlocal problems
  • Trudinger-Moser

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