کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617224 1339374 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational and quasivariational inequalities with first order constraints
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Variational and quasivariational inequalities with first order constraints
چکیده انگلیسی

We study the existence of solutions of stationary variational and quasivariational inequalities with curl constraint, Neumann type boundary condition and a pp-curl type operator. These problems are studied in bounded, not necessarily simply connected domains, with a special geometry, and the functional framework is the space of divergence-free functions with curl in Lp and null tangential or normal traces.The analogous variational or quasivariational inequalities with gradient constraint are also studied, considering Neumann or Dirichlet non-homogeneous boundary conditions. The existence of a generalized solution for a Lagrange multiplier problem with homogeneous Dirichlet boundary condition and the equivalence with the variational inequality is proved in the linear case, for an arbitrary gradient constraint.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 397, Issue 2, 15 January 2013, Pages 738–756
نویسندگان
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