Abstract
This paper is devoted to the studies of the properties of the solutions of non-linear partial differential equation, being basic ones in differential formulation of the magnetostatic problem of finding the magnetic field dis- tribution. The question of the existence of solutions, possessing an unlimited gradient, for this equation is of particular interest. Previous works dealt with the linear equation type, and also a boundary value problem was con- sidered for certain requirements for the µ function, as well as a more general non-linear case was studied. It was shown that such solutions exist, and their properties will be investigated. The difference scheme for the boundary value problem was built in the domain with corner and numerical calculations were given.
© Institute of Mathematics, NAS of Belarus
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