Existence results for Steklov problem involving thep(x)-Laplace operator
Khaled Ben Ali · Complex Variables and Elliptic Equations · 2017
In this paper we study the following non-linear Steklov boundary-value problem where is a bounded smooth domain, is a positive parameter, with ess , and is the outer unit normal to . Using the min-max method and Ekeland’s variational principle, we prove some results on the existence of weak nontrivial solutions.