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Solutions of prescribed number of zeroes to a class of superlinear ODE's systems

✍ Scribed by Susanna Terracini; Gianmaria Verzini


Publisher
SP Birkhäuser Verlag Basel
Year
2001
Tongue
English
Weight
366 KB
Volume
8
Category
Article
ISSN
1021-9722

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Solutions with prescribed number of node
✍ Daomin Cao; Zhongwei Tang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 246 KB

We consider a class of elliptic systems in the following form: We prove the existence of inÿnitely many solutions which are characterized by the number of nodes of each component. Our argument is based upon an extension of the results of Terracini and Verzini (Nonlinear Di erential Equations Appl.