Existence, uniqueness and stability of positive solutions to sublinear elliptic systems

Jann Long Chern; Yong Li Tang; Chang Shou Lin; Junping Shi

doi:10.1017/S0308210509001115

Existence, uniqueness and stability of positive solutions to sublinear elliptic systems

Jann Long Chern^*
, Yong Li Tang
, Chang Shou Lin
, Junping Shi

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

8 引文斯高帕斯（Scopus）

摘要

The existence, stability and uniqueness of positive solutions to a semilinear elliptic system with sublinear nonlinearities are proved. It is shown that the precise global bifurcation diagram of the positive solutions is a monotone curve with different asymptotical behaviour according to the form of the nonlinearities. Equations with Hölder continuous nonlinearities are also considered.

原文	英語
頁（從 - 到）	45-64
頁數	20
期刊	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
卷	141
發行號	1
DOIs	https://doi.org/10.1017/S0308210509001115
出版狀態	已發佈 - 2011 2月
對外發佈	是

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一般數學

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10.1017/S0308210509001115

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title = "Existence, uniqueness and stability of positive solutions to sublinear elliptic systems",

abstract = "The existence, stability and uniqueness of positive solutions to a semilinear elliptic system with sublinear nonlinearities are proved. It is shown that the precise global bifurcation diagram of the positive solutions is a monotone curve with different asymptotical behaviour according to the form of the nonlinearities. Equations with H{\"o}lder continuous nonlinearities are also considered.",

author = "Chern, \{Jann Long\} and Tang, \{Yong Li\} and Lin, \{Chang Shou\} and Junping Shi",

note = "Funding Information: We thank the anonymous referee for helpful suggestions and comments. J.L.C. was partly supported by the National Science Council of Taiwan Grant no. 97-2115-M008-011. J.S. was partly supported by the National Natural Science Foundation of China Grant no. 10671049, the Longjiang Professorship and the US National Science Foundation. Part of this work was done when J.S. visited the National Central University in May 2009, and he thanks the NCU for their warm hospitality.",

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AU - Chern, Jann Long

AU - Tang, Yong Li

AU - Lin, Chang Shou

AU - Shi, Junping

N1 - Funding Information: We thank the anonymous referee for helpful suggestions and comments. J.L.C. was partly supported by the National Science Council of Taiwan Grant no. 97-2115-M008-011. J.S. was partly supported by the National Natural Science Foundation of China Grant no. 10671049, the Longjiang Professorship and the US National Science Foundation. Part of this work was done when J.S. visited the National Central University in May 2009, and he thanks the NCU for their warm hospitality.

PY - 2011/2

Y1 - 2011/2

N2 - The existence, stability and uniqueness of positive solutions to a semilinear elliptic system with sublinear nonlinearities are proved. It is shown that the precise global bifurcation diagram of the positive solutions is a monotone curve with different asymptotical behaviour according to the form of the nonlinearities. Equations with Hölder continuous nonlinearities are also considered.

AB - The existence, stability and uniqueness of positive solutions to a semilinear elliptic system with sublinear nonlinearities are proved. It is shown that the precise global bifurcation diagram of the positive solutions is a monotone curve with different asymptotical behaviour according to the form of the nonlinearities. Equations with Hölder continuous nonlinearities are also considered.

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Existence, uniqueness and stability of positive solutions to sublinear elliptic systems

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