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Three solutions for a two-point boundary value problem with the prescribed mean curvature equation

2015

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.

34B08Applied Mathematics49Q2034B15mean curve operator critical point mountain pass theoremAnalysis
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