Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction

Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction

In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region principle) and prove the symmetry and nonexis...

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Autor principal: Wang Jun
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
Materias:
fractional laplacians
nonlinear fractional hartree system
variational methods
35j61
35j20
35q55
49j40
Analysis
QA299.6-433
Acceso en línea:https://doaj.org/article/24bdcdec93cd462bb2053dca8596c192
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spelling oai:doaj.org-article:24bdcdec93cd462bb2053dca8596c1922021-12-05T14:10:40ZQualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction2191-94962191-950X10.1515/anona-2021-0202https://doaj.org/article/24bdcdec93cd462bb2053dca8596c1922021-08-01T00:00:00Zhttps://doi.org/10.1515/anona-2021-0202https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XIn the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region principle) and prove the symmetry and nonexistence of positive solution of this nonlocal system. Second, we make complete classification of positive solutions of the system in the critical case when some parameters are equal. Finally, we prove the existence of multiple nontrivial solutions in the critical case according to the different parameters ranges by using variational methods. To accomplish our results we establish the maximum principle for the fractional nonlocal system.Wang JunDe Gruyterarticlefractional laplaciansnonlinear fractional hartree systemvariational methods35j6135j2035q5549j40AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 385-416 (2021)
institution DOAJ
collection DOAJ
language EN
topic fractional laplacians
nonlinear fractional hartree system
variational methods
35j61
35j20
35q55
49j40
Analysis
QA299.6-433
spellingShingle fractional laplacians
nonlinear fractional hartree system
variational methods
35j61
35j20
35q55
49j40
Analysis
QA299.6-433
Wang Jun
Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
description In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region principle) and prove the symmetry and nonexistence of positive solution of this nonlocal system. Second, we make complete classification of positive solutions of the system in the critical case when some parameters are equal. Finally, we prove the existence of multiple nontrivial solutions in the critical case according to the different parameters ranges by using variational methods. To accomplish our results we establish the maximum principle for the fractional nonlocal system.
format article
author Wang Jun
author_facet Wang Jun
author_sort Wang Jun
title Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
title_short Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
title_full Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
title_fullStr Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
title_full_unstemmed Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
title_sort qualitative analysis for the nonlinear fractional hartree type system with nonlocal interaction
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/24bdcdec93cd462bb2053dca8596c192
work_keys_str_mv AT wangjun qualitativeanalysisforthenonlinearfractionalhartreetypesystemwithnonlocalinteraction
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