A parabolic problem involving \(p(x)\)-Laplacian, a power and a singular nonlinearity (Q6638319)

The authors study a nonlinear parabolic equation governed by the \(p(x)\)-Laplace operator featuring singular nonlinearity. They establish existence results for non-negative weak solutions. Their primary method is approximation. To achieve this, they investigate the approximate problem and derive various a priori estimates, which facilitate passing to the limit and ultimately led to the conclusion of the existence results.