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Mountain pass theorem in ordered Banach spaces and its applications to semilinear elliptic equations

✍ Scribed by Ryuji Kajikiya

Book ID
113014594
Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
270 KB
Volume
19
Category
Article
ISSN
1021-9722

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📜 SIMILAR VOLUMES

Fixed points of decreasing operators in
Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations
✍ Zengqin Zhao; Xiangping Chen 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 449 KB

In this paper, we consider some decreasing operators in ordered Banach spaces. We study the existence and uniqueness of fixed points and properties of the iterative sequences for these operators. Lastly, the results are applied to nonlinear second order elliptic equations.