Super and subsolutions for elliptic equations on all of ℝ n

G. A. Afrouzi and H. Ghasemzadeh

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 32, 1-6

Abstract:

By construction sub and supersolutions for the following semilinear elliptic equation − △ u ( x ) = λ g ( x ) f ( u ( x ) ) , x ∈ ℝ n which arises in population genetics, we derive some results about the theory of existence of solutions as well as asymptotic properties of the solutions for every n and for the function g : ℝ n → ℝ such that g is smooth and is negative at infinity.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:803524

DOI: 10.1155/S0161171202110428

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