کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4609952 | 1338537 | 2015 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We are interested in the existence of least energy sign-changing solutions for a class of Kirchhoff-type problem in bounded domains. Because the so-called nonlocal term b(∫Ω|∇u|2dx)Δub(∫Ω|∇u|2dx)Δu is involving in the equation, the variational functional of the equation has totally different properties from the case of b=0b=0. Combining constraint variational method and quantitative deformation lemma, we prove that the problem possesses one least energy sign-changing solution ubub. Moreover, we show that the energy of ubub is strictly larger than the ground state energy. Finally, we regard b as a parameter and give a convergence property of ubub as b↘0b↘0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 4, 15 August 2015, Pages 1256–1274
Journal: Journal of Differential Equations - Volume 259, Issue 4, 15 August 2015, Pages 1256–1274
نویسندگان
Wei Shuai,