This paper deals with the improvement of integrability of weak solutions for a class of nonlinear elliptic systems with inhomogeneous items in Sobolev space of the least possible hypotheses. By Hodge decomposition and...This paper deals with the improvement of integrability of weak solutions for a class of nonlinear elliptic systems with inhomogeneous items in Sobolev space of the least possible hypotheses. By Hodge decomposition and weak reverse Hlder inequality it is obtained that every very weak solution of the systems is a classical weak solution. This result extends IwaneicSbordone's and Lewis' conclusion to more general cases.展开更多
文摘This paper deals with the improvement of integrability of weak solutions for a class of nonlinear elliptic systems with inhomogeneous items in Sobolev space of the least possible hypotheses. By Hodge decomposition and weak reverse Hlder inequality it is obtained that every very weak solution of the systems is a classical weak solution. This result extends IwaneicSbordone's and Lewis' conclusion to more general cases.
