The National Technical University of Ukraine, Igor Sikorsky Kyiv Polytechnic Institute, 37, Prospect Beresteiskyi (former Peremohy), Kyiv, Ukraine, 03056
In this article, we consider an elliptic system of partial differential equations in the general form under fair general conditions on its structural coefficients. We study the regularity properties of the solutions to this system, and we establish the existence of a Holder solution by the modified Leray-Schauder fixed-point method and the application of the apriori estimations obtained with utilization of form-boundary conditions.
Yaremenko, M. (2025). On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method. Journal of Mathematical Modeling, 13(1), 169-182. doi: 10.22124/jmm.2024.27119.2387
MLA
Yaremenko, M. . "On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method", Journal of Mathematical Modeling, 13, 1, 2025, 169-182. doi: 10.22124/jmm.2024.27119.2387
HARVARD
Yaremenko, M. (2025). 'On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method', Journal of Mathematical Modeling, 13(1), pp. 169-182. doi: 10.22124/jmm.2024.27119.2387
CHICAGO
M. Yaremenko, "On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method," Journal of Mathematical Modeling, 13 1 (2025): 169-182, doi: 10.22124/jmm.2024.27119.2387
VANCOUVER
Yaremenko, M. On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method. Journal of Mathematical Modeling, 2025; 13(1): 169-182. doi: 10.22124/jmm.2024.27119.2387
)