کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4958664 698664 2016 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiple positive solutions to a Kirchhoff type problem involving a critical nonlinearity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Multiple positive solutions to a Kirchhoff type problem involving a critical nonlinearity
چکیده انگلیسی
In this paper, we investigate a class of Kirchhoff type problem involving a critical nonlinearity −(1+b∫Ω|∇u|2dx)△u=λu+|u|4u,u∈H01(Ω), where b>0, λ>λ1, λ1 is the principal eigenvalue of (−△,H01(Ω)). With the help of the Nehari manifold, we obtain the multiplicity of positive solutions for λ in a small right neighborhood of λ1 and prove that one of the solutions is a positive ground state solution, which is different from the result of Brézis-Nirenberg in 1983. This paper can be regarded as the complementary work of Naimen (2015).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 72, Issue 12, December 2016, Pages 2865-2877
نویسندگان
, ,