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

Object's details: Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity

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Provider:Akademicka Platforma Czasopism

Description

Title:
Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
Creator:
do Ó, João Marcos;
Miyagaki, Olímpio H.;
Squassina, Marco
Description:
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.
Object availability:
free access
Rights:
Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
Date:
2016.07.03
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 48, No 2 (December 2016); 477 - 492;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.045/9211 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.045/9212
Subject:
Trudinger-Moser inequality;
fractional Laplacian;
ground states;
Primary;
35J60;
35B09;
Secondary;
35B33
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.045
Data provider:
Akademicka Platforma Czasopism

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