Multiplicity of Positive Solutions for a Quasilinear Schrödinger Equation with an Almost Critical Nonlinearity

Abstract

In this paper we prove an existence result of multiple positive solutions for the following quasilinear problem:

Keywords

• quasilinear schrödinger equation
• variational methods
• ljusternick–schnirelmann category
• morse theory
• multiplicity of solutions
• 35j62
• 35j20
• 74g35