On a class of p(x)-Laplacian-like Dirichlet problem depending on three real parameters
On a class of p(x)-Laplacian-like Dirichlet problem depending on three real parameters
Abstract This research establishes the existence of weak solution for a Dirichlet boundary value problem involving the p ( x )-Laplacian-like operator depending on three real parameters, originated from a capillary phenomena, of the following form: $$\begin{aligned} \displaystyle \left\{ \begin{array}{ll} \displaystyle -\Delta ^{l}_{p(x)}u+\delta \vert u\vert ^{\alpha (x)-2}u=\mu g(x, u)+\lambda f(x, …