4.5 Article

Existence of Homoclinic Solutions for the Discrete p(k)-Laplacian Operator

Journal

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
Volume 21, Issue 2, Pages -

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s12346-022-00568-z

Keywords

Homoclinic solutions; Discrete p(k)-Laplacien; Variational methods

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In this paper, we investigate the existence of nontrivial solutions for an anisotropic discrete nonlinear problem with a p(k)-Laplacian operator. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri.
In this paper, we investigate the existence of nontrivial solutions for an anisotropic discrete nonlinear problem with a p(k)-Laplacian operator. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri.

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