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

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

doi:10.12775/TMNA.2016.045

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

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

Universidade Federal da Paraíba
Universidade Federal de Juiz de Fora

Research output: Contribution to journal › Article › peer-review

13 Citations (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.

Original language	English
Pages (from-to)	N/A-N/A
Journal	Topological Methods in Nonlinear Analysis
Volume	N/A
DOIs	https://doi.org/10.12775/TMNA.2016.045
Publication status	Published - 2016

Keywords

Nonlocal problems
Trudinger-Moser

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10.12775/TMNA.2016.045

Cite this

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title = "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 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.",

keywords = "Nonlocal problems, Trudinger-Moser, Nonlocal problems, Trudinger-Moser",

author = "\{Do {\'O}\}, \{Jo{\~a}o Marcos\} and Miyagaki, \{Ol{\'i}mpio H.\} and Marco Squassina",

year = "2016",

doi = "10.12775/TMNA.2016.045",

language = "English",

volume = "N/A",

pages = "N/A--N/A",

journal = "Topological Methods in Nonlinear Analysis",

issn = "1230-3429",

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TY - JOUR

T1 - Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity

AU - Do Ó, João Marcos

AU - Miyagaki, Olímpio H.

AU - Squassina, Marco

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Nonlocal problems

KW - Trudinger-Moser

KW - Nonlocal problems

KW - Trudinger-Moser

UR - http://hdl.handle.net/10807/87082

U2 - 10.12775/TMNA.2016.045

DO - 10.12775/TMNA.2016.045

M3 - Article

SN - 1230-3429

VL - N/A

SP - N/A-N/A

JO - Topological Methods in Nonlinear Analysis

JF - Topological Methods in Nonlinear Analysis

ER -

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

Abstract

Keywords

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