کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615272 1339312 2015 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local minimizers in spaces of symmetric functions and applications
ترجمه فارسی عنوان
مینیمم های محلی در فضاهای توابع و برنامه های متقارن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

We study H1H1 versus C1C1 local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of O(N)O(N). These functionals, in many cases, are associated with some elliptic partial differential equations that may have supercritical growth. So we also prove some results on classical regularity for symmetric weak solutions for a general class of semilinear elliptic equations with possibly supercritical growth. We then apply these results to prove the existence of a large number of classical positive symmetric solutions to some concave-convex elliptic equations of Hénon type.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 429, Issue 1, 1 September 2015, Pages 27–56
نویسندگان
, , ,