Shapour Heidarkhani (2013)
Annales Polonici Mathematici
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Using Ricceri's variational principle, we establish the existence of infinitely many solutions for a class of two-point boundary value Kirchhoff-type systems.
M. Pavlovic (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Urve Kangro, Roy Nicolaides (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given.
Božidar Vujanović, Đorđe Đukić (1971)
Publications de l'Institut Mathématique
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H. RUND (1970)
Numerische Mathematik
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Lorenzo Fatibene, Mauro Francaviglia, S. Mercadante (2011)
Communications in Mathematics
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It is shown that when in a higher order variational principle one fixes fields at the boundary leaving the field derivatives unconstrained, then the variational principle (in particular the solution space) is not invariant with respect to the addition of boundary terms to the action, as it happens instead when the correct procedure is applied. Examples are considered to show how leaving derivatives of fields unconstrained affects the physical interpretation of the model. This is justified...