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Egorov, Aleksandr Anatol’evich

Solutions of the differential inequality with a null Lagrangian: higher integrability and removability of singularities. II. (English) Zbl 1420.30006

Vladikavkaz. Mat. Zh. 16, No. 4, 41-48 (2014).
Summary: 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.
For Part I, see [the author, ibid. 16, No. 3, 22–37 (2014; Zbl 1332.30038)].

MSC:

30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
35F20 Nonlinear first-order PDEs
35A15 Variational methods applied to PDEs
35B35 Stability in context of PDEs
26B25 Convexity of real functions of several variables, generalizations

Keywords:

null Lagrangian; removability of singularities; integral estimates; closed differential forms; minors of Jacobian matrix

Citations:

Zbl 1332.30038
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\textit{A. A. Egorov}, Vladikavkaz. Mat. Zh. 16, No. 4, 41--48 (2014; Zbl 1420.30006)
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