A. A. Egorov, “Solutions of the differential inequality with a null Lagrangian: higher integrability and removability of singularities. II”, Vladikavkaz. Mat. Zh., 2014, Volume 16, Number 4,Pages <nobr>41

Solutions of the differential inequality with a null Lagrangian: higher integrability and removability of singularities. II

A. A. Egorov^ab

^a Novosibirsk State University, RUSSIA, 630090, Novosibirsk, Pirogova Str., 2
^b Sobolev Institute of Mathematics, RUSSIA, 630090, Novosibirsk, Koptyug Avenue, 4

Abstract: The aim of this paper is to establish a result on removability of singularities for solutions of the differential inequality with a null Lagrangian. Also, we obtain integral estimates for wedge products of closed differential forms and for minors of a Jacobian matrix.

Key words: null Lagrangian, removability of singularities, integral estimates, closed differential forms, minors of a Jacobian matrix.

UDC: 517.957+517.548

MSC: Primary 30C65; Secondary 35F20, 35A15, 35B35, 26B25

Received: 03.04.2013

Language: English