Yevgeniia Yevgenieva

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

Abstract We establish the continuity of bounded solutions to the anisotropic elliptic equation $$\begin{aligned} -\sum \limits _{i=1}^N\Big (|u_{x_i}|^{p_i-2} u_{x_i}\Big )_{x_i}=f(x),\quad x\in \Omega ,\quad f(x)\in L^1(\Omega ) \end{aligned}$$ under the conditions $$\begin{alig...