Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent

In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term. The main tools adopted in our proofs are the concentration compactness principle and Nehari manifold.

Detalles Bibliográficos
Autores principales: Sang, Yanbin, Guo, Siman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5596079/
https://www.ncbi.nlm.nih.gov/pubmed/28979079
http://dx.doi.org/10.1186/s13660-017-1492-y
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author Sang, Yanbin
Guo, Siman
author_facet Sang, Yanbin
Guo, Siman
author_sort Sang, Yanbin
collection PubMed
description In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term. The main tools adopted in our proofs are the concentration compactness principle and Nehari manifold.
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spelling pubmed-55960792017-10-02 Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent Sang, Yanbin Guo, Siman J Inequal Appl Research In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term. The main tools adopted in our proofs are the concentration compactness principle and Nehari manifold. Springer International Publishing 2017-09-12 2017 /pmc/articles/PMC5596079/ /pubmed/28979079 http://dx.doi.org/10.1186/s13660-017-1492-y Text en © The Author(s) 2017 Open Access This 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
Sang, Yanbin
Guo, Siman
Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent
title Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent
title_full Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent
title_fullStr Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent
title_full_unstemmed Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent
title_short Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent
title_sort solutions for the quasi-linear elliptic problems involving the critical sobolev exponent
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5596079/
https://www.ncbi.nlm.nih.gov/pubmed/28979079
http://dx.doi.org/10.1186/s13660-017-1492-y
work_keys_str_mv AT sangyanbin solutionsforthequasilinearellipticproblemsinvolvingthecriticalsobolevexponent
AT guosiman solutionsforthequasilinearellipticproblemsinvolvingthecriticalsobolevexponent

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