Existence of a unique solution to an elliptic partial differential equation when the average value is known
The purpose of this paper is to prove the existence of a unique classical solution $u(\mathbf{x})$ to the quasilinear elliptic partial differential equation $\nabla \cdot(a(u) \nabla u)=f$ for $\mathbf{x} \in \Omega$, which satisfies the condition that the average value $\frac{1}{|\Omega|}\int_{\Ome...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-11-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2021031/fulltext.html |