Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems

In this paper, we consider the existence of least energy sign-changing solutions for a class of Kirchhoff-type problem [Formula: see text] where [Formula: see text] is a bounded domain in [Formula: see text] , [Formula: see text] , with a smooth boundary [Formula: see text] , [Formula: see text] and...

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Detalles Bibliográficos
Autor principal: Cheng, Bitao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4974236/
https://www.ncbi.nlm.nih.gov/pubmed/27536539
http://dx.doi.org/10.1186/s40064-016-2846-5
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author Cheng, Bitao
author_facet Cheng, Bitao
author_sort Cheng, Bitao
collection PubMed
description In this paper, we consider the existence of least energy sign-changing solutions for a class of Kirchhoff-type problem [Formula: see text] where [Formula: see text] is a bounded domain in [Formula: see text] , [Formula: see text] , with a smooth boundary [Formula: see text] , [Formula: see text] and [Formula: see text] . By using variational approach and some subtle analytical skills, the existence of the least energy sign-changing solutions of [Formula: see text] is obtained successfully. Moreover, we prove that the energy of any sign-changing solutions is larger than twice that of the ground state solutions of [Formula: see text] .
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spelling pubmed-49742362016-08-17 Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems Cheng, Bitao Springerplus Research In this paper, we consider the existence of least energy sign-changing solutions for a class of Kirchhoff-type problem [Formula: see text] where [Formula: see text] is a bounded domain in [Formula: see text] , [Formula: see text] , with a smooth boundary [Formula: see text] , [Formula: see text] and [Formula: see text] . By using variational approach and some subtle analytical skills, the existence of the least energy sign-changing solutions of [Formula: see text] is obtained successfully. Moreover, we prove that the energy of any sign-changing solutions is larger than twice that of the ground state solutions of [Formula: see text] . Springer International Publishing 2016-08-04 /pmc/articles/PMC4974236/ /pubmed/27536539 http://dx.doi.org/10.1186/s40064-016-2846-5 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Cheng, Bitao
Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems
title Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems
title_full Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems
title_fullStr Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems
title_full_unstemmed Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems
title_short Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems
title_sort least energy sign-changing solutions for a class of nonlocal kirchhoff-type problems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4974236/
https://www.ncbi.nlm.nih.gov/pubmed/27536539
http://dx.doi.org/10.1186/s40064-016-2846-5
work_keys_str_mv AT chengbitao leastenergysignchangingsolutionsforaclassofnonlocalkirchhofftypeproblems

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