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When isf(x1, x2, ..., xn) =u1(x1) +u2(x2) + ... +un(xn)?

✍ Scribed by A. Kłopotowski; M G. Nadkarni; K. P. S. Bhaskara Rao


Publisher
Indian Academy of Sciences
Year
2003
Tongue
English
Weight
130 KB
Volume
113
Category
Article
ISSN
0253-4142

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Existence of multiple positive solutions
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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