کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840777 908491 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Critical points of solutions to quasilinear elliptic problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Critical points of solutions to quasilinear elliptic problems
چکیده انگلیسی

We describe the set of critical points (points of vanishing gradient) associated to solutions of an important class of quasilinear elliptic problems with zero Dirichlet condition in planar domains. We show that the critical set is made up of finitely many isolated points and finitely many (regular) analytic Jordan curves. Further, we generalize the well-known result of Makar-Limanov, according to which the solution to the Poisson equation Δu=1, with zero Dirichlet condition in a convex domain, has a unique critical point.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 11, July 2012, Pages 4375–4381
نویسندگان
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