کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615116 | 1339308 | 2015 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations in RNRN
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we study the existence of least energy nodal solutions for a class of Kirchhoff type problems in RNRN. Since the Kirchhoff equation is a nonlocal one, the variational setting to look for sign-changing solutions is different from the local cases. By using constrained minimization on the sign-changing Nehari manifold, we prove the Kirchhoff problem has a least energy nodal solution with its energy exceeding twice the least energy. As a co-product of our approaches, we obtain the existence of least energy sign-changing solution for Choquard equations in RNRN and show that the sign-changing solution has an energy strictly larger than the least energy and less than twice the least energy.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 431, Issue 2, 15 November 2015, Pages 935–954
Journal: Journal of Mathematical Analysis and Applications - Volume 431, Issue 2, 15 November 2015, Pages 935–954
نویسندگان
Hongyu Ye,