کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10427282 908668 2005 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequalities
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequalities
چکیده انگلیسی
In this paper we develop a critical point theory for nonsmooth locally Lipschitz functionals defined on a closed, convex set extending this way the work of Struwe (Variational Methods, Springer, Berlin, 1990). Through a deformation result, we obtain minimax principles producing critical points. Then we use the theory to obtain positive and negative solutions of nonlinear and semilinear hemivariational inequalities. In this context we improve a result on positive solutions for semilinear elliptic problems due to Nirenberg (Variational methods in nonlinear problems, in: Topics in Calculus of Variations, Lecture Notes in Mathematics, vol. 1365, Springer, Berlin, 1987).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 61, Issue 3, 1 May 2005, Pages 373-403
نویسندگان
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