کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592843 | 1335151 | 2008 | 58 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Symmetry of minimizers for some nonlocal variational problems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Symmetry of minimizers for some nonlocal variational problems Symmetry of minimizers for some nonlocal variational problems](/preview/png/4592843.png)
چکیده انگلیسی
We present a new approach to study the symmetry of minimizers for a large class of nonlocal variational problems. This approach which generalizes the Reflection method is based on the existence of some integral identities. We study the identities that lead to symmetry results, the functionals that can be considered and the function spaces that can be used. Then we use our method to prove the symmetry of minimizers for a class of variational problems involving the fractional powers of Laplacian, for the generalized Choquard functional and for the standing waves of the Davey–Stewartson equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 254, Issue 2, 15 January 2008, Pages 535-592
Journal: Journal of Functional Analysis - Volume 254, Issue 2, 15 January 2008, Pages 535-592