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Quantization effects for −Δu = u(1 − |u|2) in ℝ2

✍ Scribed by Haïm Brezis; Frank Merle; Tristan Rivière

Publisher
Springer
Year
1994
Tongue
English
Weight
704 KB
Volume
126
Category
Article
ISSN
0003-9527

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📜 SIMILAR VOLUMES

Existence of multiple positive solutions
Existence of multiple positive solutions for −Δu−μ(u/∣x∣2)=u2*−1+σf(x)
✍ 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