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
m_timoumi@yahoo.com
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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