摘要
We study a class of non-homogeneous quasilinear elliptic equations with measure data to obtain an optimal regularity estimate. We prove that the gradient of a weak solution to the problem is as integrable as the first order maximal function of the associated measure in the Orlicz spaces up to a correct power.
We study a class of non-homogeneous quasilinear elliptic equations with measure data to obtain an optimal regularity estimate. We prove that the gradient of a weak solution to the problem is as integrable as the first order maximal function of the associated measure in the Orlicz spaces up to a correct power.
基金
supported by National Natural Science Foundation of China(Grant Nos.11471207,11571020 and 11671111)
Heilongjiang Province Postdoctoral Startup Foundation(Grant No.LBHQ16082)
