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math.AP2019
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…
math.AP2019
On an abstract bifurcation result concerning homogeneous potential operators with applications to PDEs
Kaye Silva
We study an abstract equation in a reflexive Banach space, depending on a real parameter . The equation is composed by homogeneous potential operators. By analyzing the Nehari s…