In this paper, we prove the global gradient estimates on the generalized Lebesgue spaces for weak solutions to elliptic quasilinear obstacle problems. It is worth noticing that the coefficients related to the obstacle problems are merely measurable with small BMO norms and the underlying domain does not satisfy any smoothness conditions.
|Number of pages||19|
|Journal||Communications in Contemporary Mathematics|
|Publication status||Published - Dec 2017|
- Nonlinear elliptic problem
- irregular obstacle
- Reifenberg flat domain
- generalized Lebesgue space