کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10427109 908643 2005 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiple critical points for nondifferentiable functionals involving Hardy potentials
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Multiple critical points for nondifferentiable functionals involving Hardy potentials
چکیده انگلیسی
In this paper we study general functionals of the calculus of variations with the presence of a Hardy potential. We will improve several results obtained in the semilinear framework. We will first prove a general weak lower semicontinuity result, which will imply the existence of a minimum point whenever the functional is coercive. Then we will demonstrate existence and multiplicity results of critical points, even if our functional is not differentiable. We will apply a nonsmooth critical point theory developed in Corvellec et al. (Nonlinear Anal. 1 (1993) 151) and Degiovanni and Marzocchi (Ann. Mat. Pura Appl. 167 (1994) 73).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 61, Issue 4, 15 May 2005, Pages 517-542
نویسندگان
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