$L^{\Phi (A(x,\cdot ))}$ estimate for the gradient in $W^{1,A(x,\cdot )}$

Duchao Liu, Beibei Wang, Sibei Yang

Under appropriate assumptions on the $N(\Omega )$-fucntion, the $L^{\Phi (A(x,\cdot ))}$ estimate for the gradient of the minimizers of a class of energy functional in Musielak-Orlicz-Sobolev…