کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839378 | 1470470 | 2016 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence and nonexistence of positive solutions of pp-Kolmogorov equations perturbed by a Hardy potential
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence and nonexistence of positive solutions of pp-Kolmogorov equations perturbed by a Hardy potential Existence and nonexistence of positive solutions of pp-Kolmogorov equations perturbed by a Hardy potential](/preview/png/839378.png)
چکیده انگلیسی
In this article, we establish the phenomenon of existence and nonexistence of positive weak solutions of parabolic quasi-linear equations perturbed by a singular Hardy potential on the whole Euclidean space depending on the controllability of the given singular potential. To control the singular potential we use a weighted Hardy inequality with an optimal constant, which was recently discovered in Hauer and Rhandi (2013). Our results in this paper extend the ones in Goldstein et al. (2012) concerning a linear Kolmogorov operator significantly in several ways: firstly, by establishing existence of positive global solutions of singular parabolic equations involving nonlinear operators of pp-Laplace type with a nonlinear convection term for 1
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 131, January 2016, Pages 121–154
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 131, January 2016, Pages 121–154
نویسندگان
Jerome A. Goldstein, Daniel Hauer, Abdelaziz Rhandi,