刻化了一类退化的有限伸张映射,其n×n阶Jacobi矩阵的秩为l:1≤l〈n,得到了其分别在W^1,l(Ω,R^n)空间、W^1,l)(Ω,R^n)空间和W^l,p(Ω,R^n)空间上的弱单调性.
This paper deals with degenerate mappings of finite distortion,in which the rank of n × n- matrix Df(x) is l:1≤l〈n. We derive the monotonicity of mappings in the space W^1,l(Ω,R^n), W^1,l)(Ω,R^n) and Orlicz - Sobolev space W^l,p(Ω,R^n).