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Minimax Theory and its Applications 08 (2023), No. 2, 301--318
Copyright Heldermann Verlag 2023

Ground State Homoclinic Solutions for Fourth Order Differential Equations

Mohsen Timoumi
Dept. of Mathematics, Faculty of Sciences, Monastir, Tunisia

We are interested in the existence of ground state homoclinic orbits for a class of periodic fourth-order differential equations under superquadratic conditions weaker than the ones known in the literature. To the best of our knowledge, there has been no work focussed in this case.

Keywords: Fourth-order differential equations, ground state homoclinic solutions, critical points, superquadratic growth, concentration compactness principle.

MSC: 34C37, 58E05, 70H05.

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