【摘要】 在变指数Lebesgue空间Lp(x)(Ω)和变指数Sobolev空间Wk,p(x)(Ω)理论体系下,利用非线性泛函分析的方法研究了一类p(x)-Laplace型算子-div[d+|▽u|2)p(2x)-1▽u]是连续的、有界的、严格单调算子,且是(S+)型的、强制的和同胚映射的性质,其中d>0为常数,从而推广了p(x)-La-place算子div(|▽u|p(x)-2▽u)的性质.更多还原

【Abstract】 Based on the theory of the variable exponent Lebesgue Spaces Lp(x)(Ω) and sobolev spaces Wk,p(x)(Ω),the properties of a class of the p(x)-Laplace type operator-div[d+|▽u|2)p(x) 2-1▽u] by means of nonlinear functional-nanlytic method have been studied.It is a continuous,bounded and strictly monotone operator and a mapping of type(S+),a coercive and homeomorphic mapping,,where d>0 is a constant.Thus extended the properties p(x)-Laplace operator div(|▽u|p(x)-2▽u).更多还原