Coelho, IsabelCorsato, ChiaraObersnel, FrancoOmari, Pierpaolo2012-10-252012-10-252012-08Coelho I, Corsato C, Obersnel F, Omari P. Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation. Advanced Nonlinear Studies. 2012; 3 (12): 621-638.1536-1365http://hdl.handle.net/10400.21/1824We discuss existence and multiplicity of positive solutions of the Dirichlet problem for the quasilinear ordinary differential equation-(u' / root 1 - u'(2))' = f(t, u). Depending on the behaviour of f = f(t, s) near s = 0, we prove the existence of either one, or two, or three, or infinitely many positive solutions. In general, the positivity of f is not required. All results are obtained by reduction to an equivalent non-singular problem to which variational or topological methods apply in a classical fashion.engQuasilinear Ordinary Differential EquationMinkowski-CurvatureDirichlet Boundary ConditionsPositive SolutionExistenceMultiplicityCritical Point TheoryBifurcation MethodsLower and Upper Solutionsjournal article