11 citations · 32 across the 13 of their papers we have counts for
14 papers
Existence of S-shaped type bifurcation curve with dual cusp catastrophe via variational methods
Marcos Leandro Carvalho, Yavdat Il'yasov, Carlos Alberto Santos
We discuss the existence of multiple positive solutions leading to the occurrence of an S-shaped bifurcation curve to the equations of the form $$ -Δ_p u= f(μ,λ, u)~ \mbox{in} ~Ω\s…
A singular Schrödinger-Maxwell system
Lucio Boccardo, Stefano Buccheri, Carlos Alberto dos Santos
In this paper we are concerned with existence of positive solutions for a Schrödinger-Maxwell system with singular or strongly-singular terms. We overcome the difficulty given by t…
Multiplicity for a strongly singular quasilinear problem via bifurcation theory
Carlos Alberto Santos, Jacques Giacomoni, Lais Santos
A -Laplacian elliptic problem in the presence of both strongly singular and -superlinear nonlinearities is considered. We employ bifurcation theory, approximation techniq…
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…
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…
Continuums of positive solutions for classes of non-autonomous and non-local problems with strong singular term
Carlos Alberto Santos, Lais Santos, Pawan Kumar Mishra
In this paper, we show existence of \textit{continuums} of positive solutions for non-local quasilinear problems with strongly-singular reaction term on a bounded domain in $\mathb…