کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900108 | 1631556 | 2018 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Positive solutions for the Kirchhoff-type problem involving general critical growth - Part I: Existence theorem involving general critical growth
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Positive solutions for the Kirchhoff-type problem involving general critical growth - Part I: Existence theorem involving general critical growth Positive solutions for the Kirchhoff-type problem involving general critical growth - Part I: Existence theorem involving general critical growth](/preview/png/8900108.png)
چکیده انگلیسی
In this paper, we consider the following Kirchhoff-type problem{(a+λâ«R3|âu|2dx+λbâ«R3|u|2dx)(âÎu+bu)=f(u),inR3,uâH1(R3),u>0,inR3, where λâ¥0 is a parameter, a, b are positive constants and f reaches the critical growth. Without the Ambrosetti-Rabinowitz condition, we prove the existence of positive solutions for the Kirchhoff-type problem with a general critical nonlinearity. We also study the asymptotics of solutions as λâ0. Numerical solutions for related problems will be discussed in the second part.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 1-16
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 1-16
نویسندگان
Huixing Zhang, Cong Gu, Chun-Ming Yang, Jean Yeh, Juan Jiang,