کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622027 1339492 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
RETRACTED: Multiple nodal solutions for quasilinear elliptic problems involving Hardy–Sobolev critical exponents in symmetric domain
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
RETRACTED: Multiple nodal solutions for quasilinear elliptic problems involving Hardy–Sobolev critical exponents in symmetric domain
چکیده انگلیسی

This article has been retracted at the request of the Editor-in-Chief and author. Please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy).Reason: In the proof of Lemma 2.8 in this paper, the authors mistakenly claimed to have obtained uλ in Mτλ. However, uλ=vλ(·−y) does not belong to uλ in Mτλ, making the statement uλ in Mτλ false. The same error occurs in the proof of Lemma 4.6. The failure of both Lemmas 2.8 and 4.6 makes Theorem 1.1 and 1.2 invalid.The authors sincerely apologize for the errors.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 335, Issue 1, 1 November 2007, Pages 524-542