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Multiple solutions of H-systems and Rellich's conjecture

✍ Scribed by Haïm Brezis; Jean-Michel Coron


Book ID
102809457
Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
996 KB
Volume
37
Category
Article
ISSN
0010-3640

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📜 SIMILAR VOLUMES


Multiple solutions of inhomogeneous H-sy
✍ Futoshi Takahashi 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 187 KB

In this paper, we study the existence of multiple solutions to the Dirichlet problem of the inhomogeneous H-system: where ⊂ R 2 is a bounded smooth domain, H ¿ 0 a constant, and f ∈ H -1 ( ; R 3 ) is a given function. By Ekeland's variational principle and the Mountain Pass Theorem, we prove that,