کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842429 908533 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents
چکیده انگلیسی

In this paper, we study the existence and multiplicity of positive solutions to the following system −Δu=∂F∂u(u,v)+εg(x), −Δv=∂F∂v(u,v)+εh(x) in ΩΩ; u,v>0u,v>0 in ΩΩ; and u=v=0u=v=0 on ∂Ω∂Ω, where ΩΩ is a bounded smooth domain in RNRN; F∈C1((R+)2,R+)F∈C1((R+)2,R+) is positively homogeneous of degree μμ; g,h∈C1(Ω¯)∖{0}; and εε is a positive parameter. Using sub–supersolution method, we prove the existence of positive solutions for the above problem. By means of the variational approach, we prove the multiplicity of positive solutions for the above problem with μ∈(2,2∗]μ∈(2,2∗].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issue 11, 1 December 2009, Pages 5118–5130
نویسندگان
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