کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615823 1339330 2014 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Liouville theorems for elliptic systems and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Liouville theorems for elliptic systems and applications
چکیده انگلیسی

Let u be a solution of the system of PDEL(u)=f(u)in RN, where L is a quasilinear second order elliptic operator in divergence form and f a given function. Our aim is to find uniform bounds for all possible solutions u of the system. In this paper we prove some bounds which are universal, in the sense that they are related only to the zeros of the nonlinearity f. Among others, the results apply to Allen–Cahn equation, Ginzburg–Landau systems, Gross–Pitaevskii systems and Lichnerowiczʼs type equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 413, Issue 1, 1 May 2014, Pages 121–138
نویسندگان
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