کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840197 1470519 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Homology of saddle point reduction and applications to resonant elliptic systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Homology of saddle point reduction and applications to resonant elliptic systems
چکیده انگلیسی

In the setting of saddle point reduction, we prove that the critical groups of the original functional and the reduced functional are isomorphic. As application, we obtain two nontrivial solutions for elliptic gradient systems which may be resonant both at the origin and at infinity. The difficulty that the variational functional does not satisfy the Palais–Smale condition is overcame by taking advantage of saddle point reduction. Our abstract results on critical groups are crucial.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 81, April 2013, Pages 236–246
نویسندگان
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