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Nontrivial solutions of elliptic semilinear equations¶at resonance

✍ Scribed by Kanishka Perera; Martin Schechter

Publisher
Springer
Year
2000
Tongue
English
Weight
76 KB
Volume
101
Category
Article
ISSN
0025-2611

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Nontrivial solutions for some singular critical growth semilinear elliptic equations
✍ Xiaoming He; Wenming Zou 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 351 KB

Let Ω be a bounded domain in R N (N ≥ 5) with smooth boundary ∂Ω and the origin 0 is a bounded positive function on Ω . We prove the existence results for nontrivial solutions to the Dirichlet problem + λu in Ω , u = 0 on ∂Ω , for suitable numbers µ and λ.