Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains
نویسندگان
چکیده
منابع مشابه
Multiple Solutions for Singularly Perturbed Semilinear Elliptic Equations in Bounded Domains
We are concerned with the multiplicity of solutions of the following singularly perturbed semilinear elliptic equations in bounded domains Ω:−ε2∆u+ a(·)u= u|u|p−2 in Ω, u > 0 in Ω, u= 0 on ∂Ω. The main purpose of this paper is to discuss the relationship between the multiplicity of solutions and the profile of a(·) from the variational point of view. It is shown that if a has a “peak” in Ω, the...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1988
ISSN: 0386-2194
DOI: 10.3792/pjaa.64.33