arXiv subjects

A. A. Egorov

Publications and source records attributed to A. A. Egorov.

2 recordsLinked to original sources

arXiv2022

On stability of classes of solutions to partial differential relations constructed by quasiconvex functions and null Lagrangians with respect to precompact famalies in $C_{loc}$

We prove theorems on stability of classes of solutions to partial differential relations constructed by quasiconvex functions and null Lagrangians with respect to precompact famalies in $C_{loc}$.

math.AP↗

arXiv2010

Solutions of the Differential Inequality with a~Null Lagrangian: Regularity and Removability of Singularities

We prove a theorem on self-improving regularity for derivatives of solutions of the inequality $F(v'(x))\le KG(v'(x))$ constructed by means of a quasiconvex function $F$ and a null Lagrangian $G$. We apply this theorem to improve the stability and Hölder regularity results of \cite{Egor2008} and to establish a theorem on removability of singularities for solutions of this inequality.

math.AP↗