6533b7d5fe1ef96bd12650e5

RESEARCH PRODUCT

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

Pasquale CanditoRoberto LivreaJean Mawhin

subject

34B08Applied Mathematics49Q2034B15mean curve operator critical point mountain pass theoremAnalysis

description

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.

http://hdl.handle.net/10447/277018