On the continuity of solutions to the anisotropic $N$-Laplacian with $L^1$ lower order term

Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva

We establish the continuity of bounded solutions to the anisotropic elliptic equation $$-\sum\limits_{i=1}^N\Big(|u_{x_i}|^{p_i-2} u_{x_i}\Big)_{x_i}=f(x),\quad x\in Ω,\quad f(x)\i…