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Existence of positive solutions of the equation −Δu + a(x)u = u(N + 2)(N − 2) in RN

✍ Scribed by Vieri Benci; Giovanna Cerami


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
989 KB
Volume
88
Category
Article
ISSN
0022-1236

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Existence of multiple positive solutions
✍ Ting Cheng; Charles Xuejin Zhao 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 250 KB

## Abstract In this paper, we consider the semilinear elliptic problem where Ω⊂ℝ^N^ (__N__⩾3) is a bounded smooth domain such that 0∈Ω, σ>0 is a real parameter, $$\mu < \overline{\mu } = (N - 2)^{2} /4$$ and __f__(__x__) is some given function in L^∞^(Ω) such that __f__(__x__)⩾0, __f__(__x__)≢0 i