Resumen de Nehari-Type Ground State Solutions for Superlinear Elliptic Equations with Variable Exponent in

Bin Ge, Ben Lee, Gan Ling Hou

• We deal with the existence of Nehari-type ground state solutions for the superlinear p(x)-Laplacian equation −△p(x)u+V(x)|u|p(x)−2u=f(x,u),x∈RN,u∈W1,p(x)(RN).

  Under a weaker Nehari condition, we establish some existence criteria to guarantee that the above problem has Nehari-type ground state solutions using Non-Nehari manifold method.