کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774694 | 1413564 | 2018 | 39 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence and blow-up rate of large solutions of p(x)-Laplacian equations with gradient terms
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we investigate boundary blow-up solutions of the problem{âÎp(x)u+f(x,u)=±K(x)|âu|m(x) in Ω,u(x)â+âas d(x,âΩ)â0, where Îp(x)u=div(|âu|p(x)â2âu) is called the p(x)-Laplacian. Our results extend the previous work [25] of Y. Liang, Q.H. Zhang and C.S. Zhao from the radial case to the non-radial setting, and [46] due to Q.H. Zhang and D. Motreanu from the assumption that K(x)|âu(x)|m(x) is a small perturbation, to the case in which ±K(x)|âu|m(x) is a large perturbation. We provide an exact estimate of the pointwise different behavior of the solutions near the boundary in terms of d(x,âΩ) and in terms of the growth of the exponents. Furthermore, the comparison principle is no longer applicable in our context, since f(x,â
) is not assumed to be monotone in this paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 457, Issue 1, 1 January 2018, Pages 944-977
Journal: Journal of Mathematical Analysis and Applications - Volume 457, Issue 1, 1 January 2018, Pages 944-977
نویسندگان
Jingjing Liu, Patrizia Pucci, Haitao Wu, Qihu Zhang,