摘要

This work is concerned with the existence and multiplicity of solutions for the following class of quasilinear problems -Delta(Phi)u + phi(|u|)u = h(epsilon x) f (u) in R-N, u is an element of W-1,W-Phi (R-N), where Phi(t) = integral(|t|)(0) phi(s)s ds is an N-function, Delta(Phi) is the Phi-Laplacian operator, epsilon > 0 and h, f are continuous functions. In the proof of our main result we have used Variational methods, Ekeland's variational principle and some properties of the Nehari manifolds.

  • 出版日期2017