0000000000965652
AUTHOR
A. Chinnì
Existence of non-zero solutions for a Dirichlet problem driven by (p(x),q(x)-Laplacian
The paper focuses on a Dirichlet problem driven by the (Formula presented.) -Laplacian. The existence of at least two non-zero solutions under suitable conditions on the nonlinear term is established. The approach is based on variational methods.
Multiple solutions for a Neumann-type differential inclusion problem involving the p(.)-Laplacian
Using a multiple critical points theorem for locally Lipschitz continuous functionals, we establish the existence of at least three distinct solutions for a Neumann-type differential inclusion problem involving the $p(\cdot)$-Laplacian.