Fourth-order discrete anisotropic boundary-value problems by Maciej Leszczynski

“…We apply the direct method of the calculus of variations and the mountain pass technique to prove the existence of at least one and at least two solutions. …”
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On the variational principle and applications for a class of damped vibration systems with a small forcing term by Shaomin Wang, Cunji Yang, Guozhi Cha

“…The variational principle of this problem is obtained by using two methods: the direct method of the calculus of variations and the semi-inverse method. …”
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Resonant Anisotropic (<i>p</i>,<i>q</i>)-Equations by Leszek Gasiński, Nikolaos S. Papageorgiou

“…First using truncation techniques and the direct method of the calculus of variations, we produce two smooth solutions of constant sign. …”
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On the regularity of holonomically constrained minimisers in the calculus of variations by Hopper, CP

“…This thesis concerns the regularity of holonomic minimisers of variational integrals in the context of direct methods in the calculus of variations. Specifically, we consider Sobolev mappings from a bounded domain into a connected compact Riemannian manifold without boundary, to which such mappings are said to be holonomically constrained. …”