E-viri
Recenzirano
-
Liang, Shuang; Zheng, Shenzhou
Journal of mathematical analysis and applications, 09/2021, Letnik: 501, Številka: 1Journal Article
We prove a global estimate in the scale of Lorentz spaces for the gradient of weak solution to a general nonlinear obstacle problem of p(x)-growth. It is mainly assumed that the nonlinearity satisfies small BMO semi-norm in the spatial variable and the boundary of domain is flat in the Reifenberg sense, while the variable exponent p(x) is a strongly log-Hölder continuous function. Here, an essential ingredient of our main proof is to make use of a combination of the so-called large-M-inequality principle and the geometric argument.
