Existence of Solutions for Higher Order Bvp with Parameters via Critical Point Theory

Abstract

This paper is concerned with the existence of at least one solution of the nonlinear 2k-th order BVP. We use the Mountain Pass Lemma to get an existence result for the problem, whose linear part depends on several parameters.

Keywords

• multidimensional spectrum
• Lidstone BVP
• critical point theory
• Palais-Smale condition