Multiplicity of positive solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions

Abstract

In this paper, we deal with the existence and multiplicity of positive weak solutions for a class of quasilinear elliptic p-Laplacian problems with nonlinear boundary conditions. By extracting the Palais- Smale sequences in the Nehari manifold and using the fibering maps, it is proved that there exists (cid:2019)\u2217 such that for \u03bb \u2208 \t (0, \u03bb\u2217),\t the given boundary value problem has at least two positive solutions.