Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space

Beibei Wang, Duchao Liu, Peihao Zhao

Under appropriate assumptions on the $N(\Omega )$-fucntion, the De Giorgi process is presented in the framework of Musielak-Orlicz-Sobolev space to prove the Hölder continuity of fully n…