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
Description
Summary: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.

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