کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613668 1338774 2006 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Estimates for eigenvalues of quasilinear elliptic systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Estimates for eigenvalues of quasilinear elliptic systems
چکیده انگلیسی

In this paper we introduce the generalized eigenvalues of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many continuous eigencurves, which are obtained by variational methods. For the one-dimensional problem, we obtain an hyperbolic type function defining a region which contains all the generalized eigenvalues (variational or not), and the proof is based on a suitable generalization of Lyapunov's inequality for systems of ordinary differential equations. We also obtain a family of curves bounding by above the kth variational eigencurve.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 227, Issue 1, 1 August 2006, Pages 102-115