arXiv:1707.01432 Abstract | arXiv Analytics

arXiv:1707.01432 [math.AP]Abstract References Reviews Resources

Existence results to a nonlinear p(k)-Laplacian difference equation

Published 2017-07-05Version 1

In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated. The main technical tools applied here are the two local minimum theorems for differentiable functionals given by Bonanno.

Comments: The final version of this paper will be published in Journal of Difference Equations and Applications in 2017

Categories: math.AP

Subjects: 39F20, 34B15

Keywords: existence results, difference equation, anisotropic discrete non-linear problem, dirichlet boundary condition, local minimum theorems

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