Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current

Abstract In the article, we present multiple solutions for a second-order singular Dirichlet boundary value problem that arises when modeling the ocean flow of the Antarctic Circumpolar Current. The main tools of the proof are the Leray–Schauder nonlinear alternative principle and a well-known fixed...

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Bibliographic Details
Published in:Boundary Value Problems
Main Authors: Yongxin Jiang, Wei Shi, Xiaojuan Li
Format: Article in Journal/Newspaper
Language:English
Published: SpringerOpen 2023
Subjects:
Existence
Singular Dirichlet boundary value problem
Antarctic circumpolar current
Analysis
QA299.6-433
Antarctic
The Antarctic
Antarc*
Online Access:https://doi.org/10.1186/s13661-023-01720-7
https://doaj.org/article/895e254827aa4445a5d5c9a34819ebf2
id ftdoajarticles:oai:doaj.org/article:895e254827aa4445a5d5c9a34819ebf2
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spelling ftdoajarticles:oai:doaj.org/article:895e254827aa4445a5d5c9a34819ebf2 2023-05-15T13:53:16+02:00 Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current Yongxin Jiang Wei Shi Xiaojuan Li 2023-03-01T00:00:00Z https://doi.org/10.1186/s13661-023-01720-7 https://doaj.org/article/895e254827aa4445a5d5c9a34819ebf2 EN eng SpringerOpen https://doi.org/10.1186/s13661-023-01720-7 https://doaj.org/toc/1687-2770 doi:10.1186/s13661-023-01720-7 1687-2770 https://doaj.org/article/895e254827aa4445a5d5c9a34819ebf2 Boundary Value Problems, Vol 2023, Iss 1, Pp 1-19 (2023) Existence Singular Dirichlet boundary value problem Antarctic circumpolar current Analysis QA299.6-433 article 2023 ftdoajarticles https://doi.org/10.1186/s13661-023-01720-7 2023-04-09T00:35:16Z Abstract In the article, we present multiple solutions for a second-order singular Dirichlet boundary value problem that arises when modeling the ocean flow of the Antarctic Circumpolar Current. The main tools of the proof are the Leray–Schauder nonlinear alternative principle and a well-known fixed point theorem in cones. Article in Journal/Newspaper Antarc* Antarctic Directory of Open Access Journals: DOAJ Articles Antarctic The Antarctic Boundary Value Problems 2023 1
institution Open Polar
collection Directory of Open Access Journals: DOAJ Articles
op_collection_id ftdoajarticles
language English
topic Existence
Singular Dirichlet boundary value problem
Antarctic circumpolar current
Analysis
QA299.6-433
spellingShingle Existence
Singular Dirichlet boundary value problem
Antarctic circumpolar current
Analysis
QA299.6-433
Yongxin Jiang
Wei Shi
Xiaojuan Li
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
topic_facet Existence
Singular Dirichlet boundary value problem
Antarctic circumpolar current
Analysis
QA299.6-433
description Abstract In the article, we present multiple solutions for a second-order singular Dirichlet boundary value problem that arises when modeling the ocean flow of the Antarctic Circumpolar Current. The main tools of the proof are the Leray–Schauder nonlinear alternative principle and a well-known fixed point theorem in cones.
format Article in Journal/Newspaper
author Yongxin Jiang
Wei Shi
Xiaojuan Li
author_facet Yongxin Jiang
Wei Shi
Xiaojuan Li
author_sort Yongxin Jiang
title Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
title_short Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
title_full Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
title_fullStr Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
title_full_unstemmed Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current
title_sort existence theory for multiple solutions to second-order singular dirichlet boundary value problem modeling the antarctic circumpolar current
publisher SpringerOpen
publishDate 2023
url https://doi.org/10.1186/s13661-023-01720-7
https://doaj.org/article/895e254827aa4445a5d5c9a34819ebf2
geographic Antarctic
The Antarctic
geographic_facet Antarctic
The Antarctic
genre Antarc*
Antarctic
genre_facet Antarc*
Antarctic
op_source Boundary Value Problems, Vol 2023, Iss 1, Pp 1-19 (2023)
op_relation https://doi.org/10.1186/s13661-023-01720-7
https://doaj.org/toc/1687-2770
doi:10.1186/s13661-023-01720-7
1687-2770
https://doaj.org/article/895e254827aa4445a5d5c9a34819ebf2
op_doi https://doi.org/10.1186/s13661-023-01720-7
container_title Boundary Value Problems
container_volume 2023
container_issue 1
_version_ 1766258297747275776

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