Existence of weak solutions for the anisotropic $p(x)$-Laplacian via degree theory

Pablo Ochoa, Analía Silva, Federico Valverde

In this paper, we consider Dirichlet boundary value problem involving the anisotropic $p(x)$-Laplacian, where $p(x)=(p_1(x),...,p_n(x))$, with $p_i(x)>1$ in $\overline{\Omega }$. Using…