Multiple Solutions for a Quasilinear Schrdinger Equation on \(\mathbb{R}^{N}\)
The multiplicity of positive weak solutions is established for quasilinear Schrdinger equations ?L p u+(?A(x)+1)|u| p?2 u=h(u) in \(\mathbb{R}^{N}\), where L p u=? p ? p u+? p ? p (u 2)u, A is a nonnegative continuous function and nonlinear term h has a subcritical growth. We achieved our results by using minimax methods and Lusternik-Schnirelman theory of critical points.
quasilinear schrdinger equation lusternik-schnirelman theory solitary waves p-laplacian variational method 35j20 35j60 35q55