This paper deals with a class of singularly perturbed nonlinear ellipticproblems $(P_\e)$ with subcritical nonlinearity. The coefficient of the linear part is assumed to concentrate in a point ofthe domain, as $\e\to 0$, and the domain is supposed to be unbounded and withunbounded boundary. Domains that enlarge at infinity, and whose boundary flattens or shrinks atinfinity, are considered. It is proved that in such domains problem $(P_\e)$ has at least 2 solutions.
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机译：本文研究了一类具有亚临界非线性的奇摄动非线性椭圆问题$（P_ \ e）$。假设线性部分的系数集中在域的一个点上，如$ \ e \到0 $，并且该域被认为是无界和无界的。考虑了在无穷远处扩大且其边界在无穷远处变平或缩小的域。证明在这样的领域中，问题$（P_ \ e）$至少有2个解。
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