4 papers
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…
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…
Multiplicity of Solutions for Quasilinear Elliptic Problems
M. L. M. Carvalho, J. V. Goncalves, Edcarlos D. da Silva +1
It is established existence, uniqueness and multiplicity of solutions for a quasilinear elliptic problem problems driven by -Laplacian operator. Here we consider the reflexive a…
Multiple Sign Changing Radially Symmetric Solutions in a General Class of Quasilinear Elliptic Equations
Claudianor O. Alves, J. V. A. Gonçalves, K. O. Silva
In this paper we prove that the equation , where are given real numbers, is a suit…