Marcelo Fernandes Furtado Associated
Professor



Research
area

Variational and topological methods

Publications

Accepted 

On
a weighted trace embedding and applications to critical
boundary problems (with L.C. Ferreira, E.S.
Medeiros and J.P.P. Silva) to appear in Mathematische Nachriten 

Existence
and multiplicity of solutions for a Kirchhoff system
with critical growth (with L.D. Oliveira and J.P.P. Silva) to appear in Annales Academiae Scientiarum Fennicae 

KirchhoffSchrödinger equation in R^2
with critical exponential growth and indefinite
potential (with H.R. Zanata) to appear in Comm. in Contemp. Math. 

Positive solution for an indefinite
fourthorder nonlocal problem (with J.P.P. Silva) to appear in Israel J. Math. 

2021 

59.  Multiplicity of solutions for a
nonlinear boundary value problem in the upper
halfspace (with K.C.V. Sousa) J. Math. Anal. Appl. 493 (2021), pp. 124544 


58.  Semilinear elliptic problems involving
exponential critical growth in the halfspace (with D.D.
Felix and E.S. Medeiros) Comm. Pure Appl. Anal. 19 (2020), pp. 49374953 
57. 
Kircchoff elliptic problems with
asymptotically linear or superlinear nonlinearities (with U.B.
Severo and E.D. Silva) Z. Angew. Math. Phys 71 (2020), Article 186 
56. 
Soliton
solutions for a generalized quasilinear elliptic
problem (with E.D. Silva and M.L. Silva) Potential Anal. 53 (2020), pp. 1097112 
55. 
Existence
and multiplicity of positive solutions for a
fourthorder elliptic equation (with G.M. Figueiredo
and J.P.P. Silva) Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), pp. 10531069 


54. 
Nodal
solution for a planar problem with fast increasing
weights (with G.M. Figueiredo
and R. Ruviaro) Topological Meth. Nonlinear Anal. 54 (2019), pp. 793805 
53. 
Two
solutions for a planar equation with combined
nonlinearities and critical growth Proc. Amer. Math. Soc. 147 (2019), pp. 43974408 
52. 
Existence
of solution for an asymptotically linear
SchrodingerKirchhoff equation (with A.M. Batista) Potential Anal. 50 (2019), pp. 609619 
51. 
Two
solutions for a fourth order nonlocal problem with
indefinite potentials (with G.M. Figueiredo
and J.P.P. Silva) Manuscripta Math. 160 (2019), pp. 199215 
50. 
An
elliptic equation with random potential and
supercritical nonlinearity (with L.C. Ferreira and L. Cioletti) Rev. Integr. Temas Mat. 37 (2019), pp. 116 
49. 
Multiple
solutions for a Kirchhoff equation with critical
growth (with L.D. Oliveira and J.P.P. Silva) Z. Angew. Math. Phys. 70 (2019), Article 11 
48. 
Multiple
solutions for a critical Kirchhoff system (with L.D. Oliveira and J.P.P. Silva) Appl. Math. Lett. 91 (2019), pp. 97105 
2018 

47. 
Positive
and nodal solutions for a nonlinear
SchrödingerPoisson system with signchanging
potentials (with A.M. Batista) Nonlinear Anal. Real World Appl. 39 (2018), pp. 142156 
46. 
Solutions
for a SchrödingerKirchhoff Equation with Indefinite
Potentials (with A.M. Batista) Milan J. Math. 86 (2018), pp. 114 
2017 

45. 
On
a Class of Semilinear
Elliptic Eigenvalue Problems in R^2 (with E.S.
Medeiros and U.B.Severo) Proc. Edinb. Math. Soc. 60 (2017), pp. 107126 
44. 
A
note on asymptotically periodic Schrödinger equations (with R. Marchi) Electron. J. Differential Equations 15 (2017), pp. 115 
43. 
Semilinear elliptic problems
with combined nonlinearities on the boundary (with R. Ruviaro and E.D. Silva) Ann. Mat. Pra Appl. 196 (2017), pp. 18871901, 2017 
42. 
Existence
of solution for a generalized quasilinear elliptic
problem (with E.D. Silva and M.L. Silva) J. Math. Phys. 58 (2017), pp. 031503 
41. 
Multiple
solutions for a Kirchhoff equation with nonlinearity
having arbitrary growth (with H.R. Zanata) Bull. Aust. Math. Soc. 96 (2017), pp. 9810 
2016 

40. 
Positive
and nodal solutions for an elliptic equation with
critical growth (with B.N. Souza) Comm. Contemp. Math. 18 (2016), pp. 1550021 
39. 
Asymptotically
periodic superquadratic
Hamiltonian systems (with R. Marchi) J. Math. Anal. Appl. 433 (2016), pp. 712731 
38. 
Elliptic
equations with weight and combined nonlinearities (with J.P.P. Silva and B.N. Souza) Adv. Nonlinear Stud. 16 (2016), pp. 509517 
2015 

37. 
Superlinear elliptic problems
under the nonquadraticity
condition at infinity (with E.D. Silva) Proc. Roy. Soc. Edinburgh Sect. A 145 (2015), pp. 779790 
36. 
Nonquadraticity condition on superlinear problems (with E.D.
Silva) Progr. Nonlinear Differential Equations Appl. 86 (2015), pp. 245255 
35. 
Quasilinear
elliptic problems under asymptotically linear
conditions at infinity and at the origin (with E.D.
Silva and M.L. Silva) Z. Angew. Math. Phys. 66 (2015), pp. 277291 
34. 
Existence
and multiplicity of selfsimilar solutions for heat
equations with nonlinear boundary conditions (with L.C. Ferreira and E.S. Medeiros) Calc. Var. Partial Differential Equations 54 (2015), p. 40654078 
2014 

33. 
A
note on the existence of positive solution for a
nonautonomous Schrödinger Poisson system (with L.A.
Maia and E.S. Medeiros) Progr. Nonlinear Differential Equations Appl. 85 (2014), pp. 277286 
32. 
An
obstacle problem in a plane domain with two solutions (with G.M. Figueiredo and M. Montenegro) Adv. Nonlinear Stud. 14 (2014), pp. 327338 
31. 
Quasilinear
Schrödinger equations with asymptotically linear
nonlinearities (with E.D. Silva and M.L. Silva) Ad. Nonlinear Stud. 14 (2014), pp. 671686 
30. 
Two
solutions for an elliptic equation with fast
increasing weight and concaveconvex nonlinearities (with R. Ruviaro and
J.P.P. Silva) J. Math. Anal. Appl. 416 (2014), pp. 698709 
29. 
A
TrudingerMoser inequality
in a weighted Sobolev
space and applications (with E.S. Medeiros and U.B.Severo) Math. Nach. 287 (2104), pp. 12551473 
2013 

28. 
Multiplicity
of selfsimilar solutions for a critical equation (with J.P.P.
Silva and M.S. Xavier) J. Differential Equations 254 (2013), pp. 27322743 
2012 

27. 
Positive
solutions for a quasilinear Schrödinger equation with
critical growth (with G.M. Figueiredo) J. Dynam. Differential Equations 24 (2012), pp. 1328 
2011 

26. 
Multiple
solutions for a semilinear
problem with combined terms and nonlinear boundary
condition (with R.Ruviaro) Nonlinear Anal. 74 (2011), no. 14, pp. 48204830 
25. 
Multiplicity
of solutions for homogeneous elliptic systems with
critical growth (with J.P.P. Silva) J. Math Anal. Appl. 385 (2011), no. 2, pp. 770785 
24. 
On
the number of solutions of NLS equations with
magnetics fields in expanding domains (with C.O.
Alves and G.M. Figueiredo) J. Differential Equations 251 (2011), pp. 25342548 
23. 
Multiple
solutions for a Schrödinger equation with magnetic
fields (with C.O. Alves and G.M. Figueiredo) Comm. in Partial Differential Equations 36 (2011), no. 9, pp. 15651586 
2010 

22. 
Multiplicity
and concentration of solutions for elliptic systems
with vanishing potentials (with E.A.B. Silva and M.S. Xavier) J. Differential Equations 249 (2010), pp. 23772396 
21. 
On
a class of nonlinear elliptic equations with fast
increasing weight and critical growth (with O.H. Myiagaki and J.P.P. Silva) J. Differential Equations 249 (2010), pp. 10351055 
20. 
Multiple
solutions for resonant elliptic systems via reduction
method (with F.O.V. dePaiva) Bull. Aust. Math. Soc. 82 (2010), pp. 211220 
19. 
Multiple solutions for critical
elliptic systems via penalization method (with C.O.
Alves and G.M. Figueiredo) Differential Integral Equations 23 (2010), pp. 703723 
18. 
Multiple solutions for a null mass
Neumann problem in exterior domains (with L.A.
Maia and E.S. Medeiros) Adv. Differential Equations 15 (2010), pp. 181199 
2009 

17. 
Multiplicity
of solutions for elliptic systems via local mountain
pass method (with C.O. Alves and G.M. Figueiredo) Comm. Pure. Appl. Anal. 8 (2009), pp. 17451758 
2008 

16. 
Multiple
positive solutions for a quasilinear system of
Schrödinger equations (with
G.M. Figueiredo) NoDEA Nonlinear Differential Equations Applications 15 (2008), pp. 309333 
15. 
Positive
and nodal solutions for a nonlinear Schrödinger
equation with indefinite potential (with
L.A. Maia and E.S. Medeiros) Adv. Nonlinear Studies 8 (2008), pp. 353373 
2007 

14. 
Positive solutions for nonlinear
elliptic equations with fast increasing weights (with
F. Catrina and M. Montenegro) Proc. Roy. Soc. Edinburgh Sect. A 137 (2007), pp. 11791195 
13. 
Nodal solutions for a nonhomogeneous
elliptic equation with symmetry Topol. Meth. Nonlinear Anal. 29 (2007), pp. 6978 
12. 
Positive
solutions for some quasilinear equations with critical
and supercritical growth (with G.M. Figueiredo) Nonlinear Anal. 66 (2007), pp. 16001616 
2006 

11. 
A note on the number of nodal solutions
of an elliptic equation with symmetry Appl. Math. Lett. 19 (2006), no. 4, pp. 326331 
10. 
On the
number of positive solution of a quasilinear elliptic
problem (with
G.M. Figueiredo) Indiana Univ. Math. J. 55 (2006), pp. 18351856 
09. 
Multiplicity
of positive solutions for a class of elliptic equation
in divergence form (with G.M. Figueiredo) J. Math. Anal. Appl. 321 (2006), pp. 705721 
08. 
Multiplicity
of solutions for resonant elliptic systems (with F.O.V. dePaiva) J. Math Anal. Appl. 319 (2006), pp. 435449 
2005 

07. 
Multiplicity of nodal solutions for a
critical quasilinear equation with symmetry Nonlinear Anal. 63 (2005), pp. 11531166 
06. 
A relation between the domain topology
and the number of minimal nodal solutions for a
quasilinear elliptic problem Nonlinear Anal. 62 (2005), pp. 615628 
05. 
Multiple minimal nodal solutions for a
quasilinear Schrödinger equation with symmetric
potential J. Math Anal. Appl. 304 (2005), pp. 170188 
2003 

04. 
Systems
with coupling in Rn for a class of noncoercive
potentials (with L.A.Maia
and E.A.B. Silva) Dynamical systems and differential equations (Wilmington, NC, 2002). Discrete Contin. Dyn. Syst. (2003), suppl., 295304 
2002 

03. 
On a double resonant problem in Rn (with L.A. Maia and E.A.B. Silva) Differential Integral Equations 15 (2002), pp. 13351344 
02. 
Solutions
for a resonant elliptic system with coupling in Rn (with L.A.Maia
and E.A.B. Silva) Comm. in Partial Differential Equations 27 (2002), pp. 15151536 
2001 

01. 
Double
resonant problems which are locally nonquadratic
at infinity (with E.A.B. Silva) Electron. J. Diff. Eqns. Conf. 06 (2001), pp.155171 
Notas de aula de cursos de pósgraduação 
Notas
de aula do curso de EDP2 (versão 1.2) 
Notas de aula do curso de Métodos
Variacionais (vesão
1.1) 
Trabalhos em nível de graduação 
O grau
topológico de Brower
(with other
authors) Trab. Graduação em Mat. 002/97, UnB 
O teorema
de Jordan (with
other authors) Trab. Graduação em Mat. 001/97, UnB 
Métodos
variacionais  uma introdução Trab. Graduação em Mat. 002/96, UnB 
Algumas realizações
de Charles Hermite Trab. Graduação em Mat. 001/96, UnB 

Education 