Symmetry of minimizers for some nonlocal variational problems
نویسندگان
چکیده
منابع مشابه
St Reading on Some Nonlocal Variational Problems 3
We study uniqueness and non uniqueness of minimizers of functionals involving nonlocal 17 quantities. We give also conditions which lead to a lack of minimizers and we show how minimization on an infinite dimensional space reduces here to a minimization on R. 19 Among other things, we prove that uniqueness of minimizers of functionals of the form R Ω a(R Ω gu dx)|∇u| 2 dx − 2 R Ω fu dx is ensur...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2008
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2007.10.004