On the extreme value of the Nehari manifold method for a class of Schrödinger equations with indefinite weight functions

José Carlos de Albuquerque, Kaye Silva

In this work we are concerned with the following class of equations \[ -Δ_p u -λh(x)|u|^{p-2}u=f(x)|u|^{γ-2}u, \quad \mbox{in } \mathbb{R}^N, \] involving indefinite weight functio…