Turkish Journal of Mathematics
DOI
10.3906/mat-1910-61
Abstract
Let $U\subseteq R^{n}$ (res. $D\subset R^{n}$) be an open (res. a compact) subset, and let $L$ be an elliptic operator defined on $C^{2}(U, R)$ (res. $C^{2}(D, R)$). In the present paper, we are going to extend the maximum principle for the function $f \in C^{2}(U, R)$ (res. $f \in C^{2}(D, R)$) satisfying the equation $Lf=\varepsilon$, where $\varepsilon$ is a real everywhere nonzero continuous function on $U$ (res. $D$). Finally, we obtain some applications in mathematics and physics.
Keywords
Boundary behavior, elliptic operator, maximum principle, positive definite matrix
First Page
66
Last Page
80
Recommended Citation
PARSIAN, ALI
(2021)
"An extension of maximum principle with some applications,"
Turkish Journal of Mathematics: Vol. 45:
No.
1, Article 4.
https://doi.org/10.3906/mat-1910-61
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss1/4
