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The Brezis–Nirenberg type problem involving the square root of the Laplacian

✍ Scribed by Jinggang Tan


Publisher
Springer
Year
2010
Tongue
English
Weight
253 KB
Volume
42
Category
Article
ISSN
0944-2669

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Maximization of the first eigenvalue in
✍ Fabrizio Cuccu; Giovanni Porru 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 321 KB

This paper concerns maximization of the first eigenvalue in problems involving the bi-Laplacian under either Navier boundary conditions or Dirichlet boundary conditions. Physically, in the case of N = 2, our equation models the vibration of a nonhomogeneous plate Ω which is either hinged or clamped