The aim of this paper is to investigate an ordinary fourth-order hemivariational inequality. By using non smooth variational methods, infinitely many solutions satisfying this type of inequality, whenever the potential of the nonlinear term has a suitable growth condition or convenient oscillatory assumptions at zero or at infinity, are guaranteed. As a consequence, a multiplicity result for non smooth fourth-order boundary value problems is pointed out.
Fourth-order hemivariational inequalities
BONANNO, Gabriele;DI BELLA, Beatrice
2012-01-01
Abstract
The aim of this paper is to investigate an ordinary fourth-order hemivariational inequality. By using non smooth variational methods, infinitely many solutions satisfying this type of inequality, whenever the potential of the nonlinear term has a suitable growth condition or convenient oscillatory assumptions at zero or at infinity, are guaranteed. As a consequence, a multiplicity result for non smooth fourth-order boundary value problems is pointed out.File in questo prodotto:
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