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.
P. Candito, R.L. (2015). Three solutions for a two-point boundary value problem with the prescribed mean curvature equation. DIFFERENTIAL AND INTEGRAL EQUATIONS, 28(9/10), 989-1010.
Three solutions for a two-point boundary value problem with the prescribed mean curvature equation
R. Livrea;
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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