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math.AP2019★ 2 cited
Separating of critical points on the Nehari manifold via the nonlinear generalized Rayleigh quotients
Marcos L. M. Carvalho, Yavdat Sh. Il'yasov, Carlos Alberto Santos
In this paper, we deal with equations of variational form which Nahari manifolds can contain more than two different types of critical points. We introduce a method of separating c…
math.AP2019
Equivalent conditions for existence of three solutions for a problem with discontinuous and strongly-singular terms
Carlos Alberto Santos, Lais Santos, Marcos L. M. Carvalho
In this paper, we are concerned with a Kirchhoff problem in the presence of a strongly-singular term perturbed by a discontinuous nonlinearity of the Heaviside type in the setting…