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On positive solutions of −Δu=F(x, u)

✍ Scribed by John F. Toland

Publisher
Springer-Verlag
Year
1983
Tongue
French
Weight
221 KB
Volume
182
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES

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