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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 $K-W$ and a forcing term.… Click to show full abstract
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 $K-W$ and a forcing term. We consider two situations: $G$ satisfying $\Delta_2\cap\nabla_2$ in infinity and globally. We give conditions on the growth of the potential near zero for both situations.
Keywords:
euler lagrange;
mountain pass;
pass type;
periodic solutions;
type periodic
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!