کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10427033 908630 2005 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights
چکیده انگلیسی
In this paper, we consider the existence and non-existence of non-trivial solutions to quasilinear Brezis-Nirenberg-type problems with singular weights. First, we shall obtain a compact imbedding theorem which is an extension of the classical Rellich-Kondrachov compact imbedding theorem, and consider the corresponding eigenvalue problem. Secondly, we deduce a Pohozaev-type identity and obtain a non-existence result. Thirdly, thanks to the generalized concentration compactness principle, we will give some abstract conditions when the functional satisfies the (PS)c condition. Finally, basing on the explicit form of the extremal function, we will obtain some existence results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 62, Issue 4, 15 August 2005, Pages 703-725
نویسندگان
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