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Bifurcation and Calabi-Bernstein type asymptotic property of solutions for the one-dimensional Minkowski-curvature equation

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Abstract
In this paper, we investigate the global structure of bifurcation branches of one-sign solutions and sign-changing solutions for one-dimensional Minkowski-curvature problems with a strong singular weight. Our interest of the nonlinearity is either linear or sublinear near zero. Growth conditions near ∞ are not necessary and the proofs are mainly employed by bifurcation theories based on Whyburn's limit argument and analysis techniques. We also show Calabi-Bernstein type asymptotic property of one-sign solutions by proving that one-sign solutions on two bifurcation branches converge to two linear functions.
Author(s)
Yong-Hoon LeeInbo SimRui Yang
Issued Date
2022
Type
Article
Keyword
Minkowski-curvature problemsSingular weightSublinearBifurcationWhyburn's limit argumentCalabi-Bernstein type
DOI
10.1016/j.jmaa.2021.125725
URI
https://oak.ulsan.ac.kr/handle/2021.oak/13647
Publisher
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Language
영어
ISSN
0022-247X
Citation Volume
507
Citation Number
1
Citation Start Page
1
Citation End Page
16
Appears in Collections:
Medicine > Nursing
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