کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841207 908504 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A coercive James’s weak compactness theorem and nonlinear variational problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A coercive James’s weak compactness theorem and nonlinear variational problems
چکیده انگلیسی

We discuss a perturbed version of James’s sup theorem for weak compactness that not only properly generalizes that classical statement, but also some recent extensions of this central result: the sublevel sets of an extended real valued and coercive function whose subdifferential is surjective are relatively weakly compact. Furthermore, we apply it to generalize and unify some facts in mathematical finance and to prove that the unique possible framework in the development of an existence theory for a wide class of nonlinear variational problems is the reflexive one.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 2, January 2012, Pages 598–611
نویسندگان
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