Solution behaviour of non-linear magnetostatic problem around ferromagnetic's corner point

A non-linear boundary value problem was studied in a corner domain. This problem aroze from seeking for the distribution of magnetic field. Numerical methods are usually used to solve such a problem, therefore it was important to study the solutions smoothness around a corner point. Non-linear problems in this aspect are not studied enough. However, simular investigations were performed for linear problems. In one of our previous papers we considered a quasi-linear magnetostatic problem. In this paper we consider a case of non-linear boundary-value magnetostatic problem and give the proof of the theorem about finiteness around a corner point.