کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844460 908592 2007 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiple positive solutions for an inhomogeneous semilinear problem in exterior domains
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Multiple positive solutions for an inhomogeneous semilinear problem in exterior domains
چکیده انگلیسی
This paper is a contribution on the inhomogeneous problem {Δu+K(x)up+λf(x)=0in Ω,u>0in Ω,u∈Hloc1(Ω)∩C(Ω¯),u|∂Ω=0,u→μ>0as |x|→∞, where Ω=RN∖ω is an exterior domain in RN, ω⊂RN is a bounded domain with a smooth boundary and N>2. λ>0, μ>0 and p>1 are given constants. f(x)∈L∞(Ω) and K(x) are given locally Hölder continuous functions in Ω̄, and K(x) satisfies a fast decay condition: ∃C,ϵ,M>0 such that |K(x)|≤C|x|l for any |x|≥M with l≤−2−ϵ. By applying the monotone iteration method and the Mountain Pass Lemma, some results on the existence and nonexistence of multiple solutions are discussed under different assumptions for K(x) and f(x).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 66, Issue 6, 15 March 2007, Pages 1388-1409
نویسندگان
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