2018-06-132018-06-132013SILVA, Elves A. B.; SILVA, Maxwell L. Continuous dependence of solutions for indefinite semilinear elliptic problems. Electronic Journal of Differential Equations, San Marcos, v. 2013, n. 239, p. 1-17, 2013.1072-6691http://repositorio.bc.ufg.br/handle/ri/15239We consider the superlinear elliptic problem −∆u + m(x)u = a(x)u p in a bounded smooth domain under Neumann boundary conditions, where m ∈ L σ (Ω), σ ≥ N/2 and a ∈ C(Ω) is a sign changing function. Assuming that the associated first eigenvalue of the operator −∆ + m is zero, we use constrained minimization methods to study the existence of a positive solution when m b is a suitable perturbation of m.engAcesso AbertoArtigo