Abstract The boundary value problems of a class of quasilinear elliptic equations are considered, which possess periodic variable exponents and concave-convex nonlinearities in $\mathbf{R}^{N}$. Under some weaker assumptions, the multiplicity of solutions for the equations is obtained by applying the Ekeland's variational principle and the Nehari manifold theory.
QI Hong-hong, JIA Gao. Multiplicity of solutions for a class of quasilinear elliptic equations with periodic variable exponents and concave-convex nonlinearities. Applied Mathematics A Journal of Chinese Universities, 2016, 31(3): 294-306.
