The existence of at least three classical solutions for a parametric ordinary Dirichlet problem involving the mean curvature operator are established. In particular, a variational approach is proposed and the main results are obtained simply requiring the sublinearity at zero of the considered nonlinearity.
THREE SOLUTIONS FOR A TWO-POINT BOUNDARY VALUE PROBLEM WITH THE PRESCRIBED MEAN CURVATURE EQUATION
Livrea, R;Mawhin, J
2015-01-01
Abstract
The existence of at least three classical solutions for a parametric ordinary Dirichlet problem involving the mean curvature operator are established. In particular, a variational approach is proposed and the main results are obtained simply requiring the sublinearity at zero of the considered nonlinearity.File in questo prodotto:
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