Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent

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Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent

Ibrango, Idrissa; Sanou, Rodrigue; Koné, Blaise; Guiro, Aboudramane

Nonautonomous Dynamical Systems, 01/2020, Volume: 7, Issue: 1

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We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method. We also extend the problem by using generalized penality and source functions.

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Ibrango, Idrissa | Sanou, Rodrigue | Koné, Blaise | Guiro, Aboudramane

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