Smooth local solutions to weingarten equations and σₖ-equations
Chen, Tiancong · Han, Qing
Original · EN
In this paper, we study the existence of smooth local solutions to Weingarten equations and σₖ-equations. We will prove that, for 2 ≤ k ≤ n, the Weingarten equations and the σₖ-equations always have smooth local solutions regardless of the sign of the functions in the right-hand side of the equations. We will demonstrate that the associate linearized equations are uniformly elliptic if we choose the initial approximate solutions appropriately.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.