Solvability of nonlinear degenerate equations and estimates for inverse functions

• Published in: Sbornik. Mathematics Vol. 216; no. 1; pp. 1 - 24
• Main Authors: Arutyunov, Aram Vladimirovich, Zhukovskiy, Sergey Evgenevich
• Format: Journal Article
• Language: English
• Published: 2025

For a continuous map $F$ from a finite-dimensional real space to another such space the question of the solvability of the nonlinear equation of the form $F(x)=y$ is investigated for $y$ close to a fixed value $F(\overline x)$. To do this, the concept of $\lambda$-truncation of the map $F$ in a neig...