Multiple solutions for Neumann and periodic problems with singular φ-Laplacian

We use the critical point theory for convex, lower semicontinuous perturbations of C1-functionals to establish existence of multiple radial solutions for some one parameter Neumann problems involving the operator v → div( ∇v √1−|∇v|2 ). Similar results for periodic problems are also provided. © 2011 Elsevier Inc. All rights reserved