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

TL;DR

This paper establishes stability theorems for classes of solutions to certain partial differential relations involving quasiconvex functions and null Lagrangians, focusing on their behavior under precompact families in local uniform convergence.

Contribution

It provides new stability results for solutions to PDE relations constructed via quasiconvex functions and null Lagrangians, advancing understanding of their structural robustness.

Findings

Proves stability theorems for solution classes

Analyzes behavior under precompact families in $C_{loc}$

Extends previous stability results to broader classes

Abstract

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 $C_{loc}$.