3 papers
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…
math.AP2018
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…
math.AP2018
How to break the uniqueness of -solutions for very singular elliptic problems by non-local terms
Carlos Alberto Santos, Lais Moreira dos Santos
In this paper, we are going to show existence of branches of bifurcation for positive -solutions for the very singular non-local -problem $$ -{\Big(\int_Ωg(x,u…