کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642581 1341348 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Eigenvalues of the radial pp-Laplacian with a potential on (0,∞)(0,∞)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Eigenvalues of the radial pp-Laplacian with a potential on (0,∞)(0,∞)
چکیده انگلیسی

Brown and Reichel recently established the existence of eigenvalues for the p-Laplacian on R+ when the potential q is either (i) large and positive or (ii) sufficiently large and negative (“limit-circle” case) at infinity. Their methods imposed extra restrictions on q. In this paper, these restrictions are removed. In addition, the case where q decays at infinity is also shown to produce negative eigenvalues, and a condition is given under which there are only a finite number of such eigenvalues.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 208, Issue 1, 1 November 2007, Pages 111–119
نویسندگان
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