| 书目名称 | Partial Differential Inequalities with Nonlinear Convolution Terms |
| 编辑 | Marius Ghergu |
| 视频video | |
| 概述 | Focuses on the rapidly expanding topic of PDEs with nonlinear convolution terms.Provides a self-contained approach based on non-variational methods.Presents a specific mathematical direction motivated |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | .This brief research monograph uses modern mathematical methods to investigate partial differential equations with nonlinear convolution terms, enabling readers to understand the concept of a solution and its asymptotic behavior. .In their full generality, these inequalities display a non-local structure. Classical methods, such as maximum principle or sub- and super-solution methods, do not apply to this context. This work discusses partial differential inequalities (instead of differential equations) for which there is no variational setting..This current work brings forward other methods that prove to be useful in understanding the concept of a solution and its asymptotic behavior related to partial differential inequalities with nonlinear convolution terms. It promotes and illustrates the use of a priori estimates, Harnack inequalities, and integral representation of solutions.. .One of the first monographs on this rapidly expanding field, the presentwork appeals to graduate and postgraduate students as well as to researchers in the field of partial differential equations and nonlinear analysis.. |
| 出版日期 | Book 2022 |
| 关键词 | quasilinear differential operators; p-Laplace operator; mean curvature operator; polyharmonic operator; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-21856-9 |
| isbn_softcover | 978-3-031-21855-2 |
| isbn_ebook | 978-3-031-21856-9Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2022 |
发表于 2025-3-21 16:27:11
