9 citations · 18 across the 18 of their papers we have counts for
18 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 $$ -Δ_p u= f(μ,λ, u)~ \mbox{in} ~Ω\s…
Regularity results for quasilinear elliptic problems driven by the fractional -Laplacian operator
M. L. Carvalho, E. D. Silva, J. C. de Albuquerque +1
It is established estimates for the fractional -Laplacian operator defined in bounded domains where the nonlinearity is subcritical or critical in a suitable sense. Furt…
Choquard equations via nonlinear Rayleigh quotient for concave-convex nonlinearities
Marcos L. M. Carvalho, Edcarlos D. Silva, Claudiney Goulart
It is established existence of ground and bound state solutions for Choquard equation considering concave-convex nonlinearities in the following form $$ \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…
Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition
Reshmi Biswas, Sabri Bahrouni, Marcos L. Carvalho
We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity is a Carathéodory function satisfying some hypotheses whic…
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…
Revised regularity results for quasilinear elliptic problems driven by the -Laplacian operator
E. D. Silva, M. L. Carvalho, J. C. de Albuquerque
It is establish regularity results for weak solutions of quasilinear elliptic problems driven by the well known -Laplacian operator given by \begin{equation*} \left\{\ \begin{ar…
Multiplicity of Solutions for Quasilinear Elliptic Problems
M. L. M. Carvalho, J. V. Goncalves, Edcarlos D. da Silva +1
It is established existence, uniqueness and multiplicity of solutions for a quasilinear elliptic problem problems driven by -Laplacian operator. Here we consider the reflexive a…
Existence and regularity of positive solutions of quasilinear elliptic problems with singular semilinear term
José V. A. Goncalves, Marcos L. M. Carvalho, Carlos Alberto Santos
This paper deals with existence and regularity of positive solutions of singular elliptic problems on a smooth bounded domain with Dirichlet boundary conditions involving the -L…
Concave-convex effects for critical quasilinear elliptic problems
C. Goulart, E. D. da Silva, M. L. M. Carvalho +1
It is established existence, multiplicity and asymptotic behavior of positive solutions for a quasilinear elliptic problem driven by the -Laplacian operator. One of these soluti…
Quasilinear elliptic systems with convex-concave singular terms operator
Carlos Alberto Santos, Marcos L. Carvalho, Jose V. Goncalves
This paper deals with existence of positive solutions for a class of quasilinear elliptic systems involving the -Laplacian operator and convex-concave singular terms. Our approa…
Sign changing solutions for quasilinear superlinear elliptic problems
E. D. Silva, M. L. M. Carvalho, F. J. S. A. Corrêa +1
Results on existence and multiplicity of solutions for a nonlinear elliptic problem driven by the -Laplace operator are established. We employ minimization arguments on suitable…
On Variational Multivalued Elliptic Equations on a Bounded Domain in the Presence of Critical Growth
J. V. Goncalves, M. L. Carvalho
We develop arguments on the critical point theory for locally Lipschitz functionals on Orlicz-Sobolev spaces, along with convexity and compactness techniques to investigate existen…
Nonlinear Boundary Value Problems via Minimization on Orlicz-Sobolev Spaces
J. V. Goncalves, M. L. M. Carvalho
We develop arguments on convexity and minimization of energy functionals on Orlicz-Sobolev spaces to investigate existence of solution to the equation $\displaystyle -\mbox{div} (ϕ…
Multiple Positive Solutions for a Class of Nonlinear Elliptic Eigenvalue Problems with a Sign-Changing Nonlinearity
M. L. Carvalho, J. V. Goncalves, K. O. Silva
In 2009 Loc and Schmitt established a result on sufficient conditions for multiplicity of solutions of a class of nonlinear eignvalue problems for the p-Laplace operator under Diri…