摘要
考虑非线性椭圆方程当右端项f(x)属于适当的Lorentz空间,研究了方程的弱解u∈Wl,p(G)的可积性属性。
Consider a nonlinear elliptic equation:on a bounded domain in the n-dimensional Euclidean space. The belongingness of the integrability on the weak solution of the equation, u∈W^(l,p)(G) is inverstigated when the right hand sideterm f(x) is assumed in suitable Lorentz spaces.