Open Mathematics (Aug 2017)
Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator
Abstract
Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions. The methods for existence rely on a Ricceri-local minimum theorem for differentiable functionals. Several examples are included to illustrate the main results.
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