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Repozytorium publikacji
Politechniki Gdańskiej

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Mountain pass type periodic solutions for Euler–Lagrange equations in anisotropic Orlicz–Sobolev space

Using the Mountain Pass Theorem, we establish the existence of periodic solution for Euler–Lagrange equation. Lagrangian consists of kinetic part (an anisotropic G-function), potential part and a forcing term. We consider two situations: G satisfying at infinity and globally. We give conditions on the growth of the potential near zero for both situations.

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