التفاصيل البيبلوغرافية
| العنوان: |
Positive singular solutions of a certain elliptic PDE |
| المؤلفون: |
Mohammadnejad, Negar |
| المساهمون: |
Lui, Shiu Hong, Slevinsky, Richard Mikaël, Cowan, Craig |
| سنة النشر: |
2023 |
| المجموعة: |
MSpace at the University of Manitoba |
| مصطلحات موضوعية: |
partial differential equations, positive singular solutions of PDE, linearization, continuity method, Banach's fixed point theorem, PDE |
| الوصف: |
In this thesis, we study the existence of positive singular solutions of a system of partial differential equations on a bounded domain. We first consider the solution of the following problem:\begin{equation} \label{base equation} \left\{ \begin{array}{lr} -\Delta w= | \nabla w|^p& \text{in}~ B_1 \backslash \{0\},\\ w=0 & \text{on}~ \partial B_1. \end{array} \right. \end{equation} Then we use its well-known solution to study the positive singular solutions of its perturbations on $B_1$ which is a unit ball centered at the origin in $\mathbb{R}^N$ and where we assume $N\ge 3$ and $\frac{N}{N-1}
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| نوع الوثيقة: |
master thesis |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| Relation: |
http://hdl.handle.net/1993/37429 |
| الاتاحة: |
http://hdl.handle.net/1993/37429 |
| Rights: |
open access |
| رقم الانضمام: |
edsbas.A5CF62B2 |
| قاعدة البيانات: |
BASE |