A priori estimates to the maximum modulus of generalized solutions of a class of quasilinear elliptic equations with anisotropic growth conditions (Q1804426)

In the last ten years great attention on quasilinear elliptic equations and functionals with nonstandard growth conditions are growing more, gradually, by Lu, Chen-Shen, Wang-Liang and Fusco-Sbordone. But the results obtained for the cases with standard growth conditions have not extended yet to this case completely. In the paper under review the authors give a priori estimates for the maximum modulus of generalized solutions of the quasilinear elliptic equations with anisotropic growth condition.