5 citations · 7 across the 6 of their papers we have counts for
9 papers
Choquard equations via nonlinear Rayleigh quotient for concave-convex nonlinearities
Marcos L. M. Carvalho, Edcarlos D. Silva, Claudiney Goulart
It is established existence of ground and bound state solutions for Choquard equation considering concave-convex nonlinearities in the following form $$ \begin{array}{rcl} -Δu +V(x…
Multiple solutions for two classes of quasilinear problems defined on a nonreflexive Orlicz-Sobolev space
Claudianor O. Alves, Sabri Bahrouni, Marcos L. M. Carvalho
In this paper, we prove the existence and multiplicity of solutions for a large class of quasilinear problems on a nonreflexive Orlicz-Sobolev space. Here, we use the variational m…
Compact embedding theorems and a Lions' type Lemma for fractional Orlicz-Sobolev spaces
Edcarlos D. Silva, Marcos L. M. Carvalho, José Carlos de Albuquerque +1
In this paper we are concerned with some abstract results regarding to fractional Orlicz-Sobolev spaces. Precisely, we ensure the compactness embedding for the weighted fractional…
A Lions type result for a large class of Orlicz-Sobolev space and applications
Claudianor O. Alves, Marcos L. Carvalho
In this paper we prove a Lions type result for a large class of Orlicz-Sobolev space that can be nonreflexive and use this result to show the existence of solution for a large clas…
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…