کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844923 908632 2006 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Concentration and multiplicity of solutions for a fourth-order equation with critical nonlinearity
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Concentration and multiplicity of solutions for a fourth-order equation with critical nonlinearity
چکیده انگلیسی

In this paper, we consider the problem (Pε)(Pε) : Δ2u=un+4/n-4+εu,u>0Δ2u=un+4/n-4+εu,u>0 in Ω,u=Δu=0Ω,u=Δu=0 on ∂Ω∂Ω, where ΩΩ is a bounded and smooth domain in Rn,n>8Rn,n>8 and ε>0ε>0. We analyze the asymptotic behavior of solutions of (Pε)(Pε) which are minimizing for the Sobolev inequality as ε→0ε→0 and we prove existence of solutions to (Pε)(Pε) which blow up and concentrate around a critical point of the Robin's function. Finally, we show that for εε small, (Pε)(Pε) has at least as many solutions as the Ljusternik–Schnirelman category of ΩΩ.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 64, Issue 3, 1 February 2006, Pages 417–439
نویسندگان
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