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Existence of multiple positive solutions for( - Delta u = lambda u + u^{frac{{N + 2}}{{N - 2}}} + mu fleft( x ight)*)

✍ Scribed by Deng Yinbing

Book ID: 110567444
Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 1993
Tongue: English
Weight: 341 KB
Volume: 9
Category: Article
ISSN: 1439-7617
DOI: 10.1007/bf02582909

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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