This paper deals with the irregular oblique derivative boundary value problemfor nonlinear elliptic systems of second order equations in multiply connected domains.Firstly the well-posedness of the irregUlar oblique d...This paper deals with the irregular oblique derivative boundary value problemfor nonlinear elliptic systems of second order equations in multiply connected domains.Firstly the well-posedness of the irregUlar oblique derivative problem and an a priori es- timate of solutions for the modified boundary value problem are given, afterwards theexistence of solutions for the modified boundary value problem is proved by using theabove estimates of solutions and the Schauder fixed-point theorem. Finally the solVabilityconditions of the original boundary value problem can be derived.展开更多
文摘This paper deals with the irregular oblique derivative boundary value problemfor nonlinear elliptic systems of second order equations in multiply connected domains.Firstly the well-posedness of the irregUlar oblique derivative problem and an a priori es- timate of solutions for the modified boundary value problem are given, afterwards theexistence of solutions for the modified boundary value problem is proved by using theabove estimates of solutions and the Schauder fixed-point theorem. Finally the solVabilityconditions of the original boundary value problem can be derived.
