Existence theory for functional \(p\)-Laplacian equations with variable exponents
The authors consider the solvability of functional \(p\)-Laplacian equations subjected to general boundary conditions, which include as particular cases the Dirichlet and periodic conditions, and also cover a wide class of nonlinear conditions as well a functional ones. The existence of solutions to problems with bounded nonlinear parts is proved. Illustrative examples are presented, too.
Dirichlet and periodic boundary conditions
scientific article; zbMATH DE number 1879967