Existence of bounded weak solutions of the Robin problem for a quasi-linear elliptic equation with p(x)-Laplacian

Abstract

We prove the existence of bounded weak solutions to the Robin problem for an elliptic quasi-linear second-order equation with the variable $p(x)$-Laplacian.

Keywords

• $p(x)$-laplacian
• angular and conical points
• the nonlinear robin boundary condition