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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3341264
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