标题：Super and subsolutions for elliptic equations on all of <mml:math alttext="$\mathbb{R}^n$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>ℝ</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math>
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2002
卷号：32
DOI：10.1155/S0161171202110428
出版社：Hindawi Publishing Corporation
摘要：By construction sub and supersolutions for the following
semilinear elliptic equation −△u(x)=λg(x)f(u(x)), x∈ℝn 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:ℝn→ℝ such that g is smooth and is negative at infinity.
