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Marcelo Fernandes Furtado Associated
Professor
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Research
area
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Variational and topological methods
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Publications
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Accepted |
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On a FitzHugh-Nagumo
nonlinear system with
exponential growth
(with
J.L. Carvalho and T.Melo) |
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| 80. |
Choquard
type equations
with asymptotically
linear nonlinearities (with
E.D. Silva and U.B. Severo) |
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2024 |
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79. |
A minimax theorem for locally
Lipschitz functionals
and applications
(with J.P.P. Silva) |
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78. |
A Sign-changing solution for an elliptic equation with
critical growth at the boundary (with J.P.P. Silva and K.C.V. Sousa) |
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77. |
Elliptic equations with
critical and
supercritical growth
at the
boundary (with
R.F. Oliveira) |
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76. |
Embedding theorems for weighted
Sobolev spaces
in a borderline case and applications (with J.L. Carvalho and E.S. Medeiros) |
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75. |
Remarks on
a Sobolev embedding
(with
E.A.M. Abreu and E.S. Medeiros) |
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2023 |
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74. |
On a critical
Schrödinger-Poisson system in
R^2 with potentials
vanishing at
infinity (with F.S.B. Albuquerque, J.L. Carvalho and E.S.
Medeiros) |
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73. |
Positive and
nodal ground state
solutions for a critical
Sch dinger-Poisson
system with indefinite
potentials
(with
Y. Wang and Z. Zhang) |
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72. |
On a Hardy-Sobolev
type inequality
and applications (with J.L. Carvalho and E.S. Medeiros) |
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| 71. | Hardy inequality
for domains with
a geometric boundary
condition and
applications (with
E.A.M. Abreu, J.L. Carvalho and E.S. Medeiros) Bulletin of the London Math. Society 55 (2023), pp. 428-446 |
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2022 |
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70. |
Indefinite
planar problem with
exponential critical
growth (with
K.C.V. Sousa) |
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69. |
A sharp Hardy-Sobolev
inequality with boundary terms and applications (with J.L.
Carvalho and E.S. Medeiros) |
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68. |
Two solutions for a singular elliptic
equation with critical growth at infinity (with K.C.V. Sousa) |
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2021 |
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67. |
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66. |
Kirchhoff-Schr
dinger equation in R^2 with critical exponential growth
and indefinite potential (with H.R. Zanata) |
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65. |
Fractional elliptic systems with noncoecive
potentials (with J.C. Albuquerque and E.D. Silva) |
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64. |
Existence
and multiplicity of solutions for a Kirchhoff system with
critical growth (with L.D. Oliveira and J.P.P. Silva) |
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63. |
On a zero-mass
(N,q)-Laplacian
equation in R^N with
exponential critical
growth (with
J.L. Carvalho, G.M. Figueiredo and
E.S. Medeiros) |
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62. |
Positive solution for an indefinite
fourth-order nonlocal problem (with J.P.P. Silva) |
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61. |
Critical boundary
value problems
in the upper
half-space (with
J.P.P. Silva) |
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60. |
On a weighted
trace embedding and
applications to
critical boundary
problems (with
L.C. Ferreira, E.S. Medeiros and
J.P.P. Silva) |
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59. |
Multiplicity of solutions for a nonlinear
boundary value problem in the upper half-space (with K.C.V.
Sousa) |
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2020 |
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58. |
Semilinear
elliptic problems involving exponential critical growth in
the half-space (with D.D. Felix and E.S. Medeiros) |
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57. |
Kircchoff
elliptic problems with asymptotically linear or superlinear
nonlinearities (with U.B. Severo
and E.D. Silva) |
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56. |
Soliton
solutions for a generalized quasilinear elliptic problem (with E.D. Silva
and M.L. Silva) |
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55. |
Existence
and multiplicity of positive solutions for a fourth-order
elliptic equation (with G.M. Figueiredo
and J.P.P. Silva) |
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54. |
Nodal
solution for a planar problem with fast increasing weights (with G.M. Figueiredo and R. Ruviaro) |
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53. |
Two
solutions for a planar equation with combined
nonlinearities and critical growth |
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52. |
Existence
of solution for an asymptotically linear
Schrodinger-Kirchhoff equation (with A.M. Batista) |
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51. |
Two
solutions for a fourth order nonlocal problem with
indefinite potentials (with G.M. Figueiredo
and J.P.P. Silva) |
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50. |
An
elliptic equation with random potential and supercritical
nonlinearity (with L.C. Ferreira and L. Cioletti) |
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49. |
Multiple
solutions for a Kirchhoff equation with critical growth (with L.D.
Oliveira and J.P.P. Silva) |
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48. |
Multiple
solutions for a critical Kirchhoff system (with L.D.
Oliveira and J.P.P. Silva) |
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2018 |
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47. |
Positive
and nodal solutions for a nonlinear Schr
dinger-Poisson system with sign-changing potentials (with A.M.
Batista) |
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46. |
Solutions
for a Schr dinger-Kirchhoff
Equation with Indefinite Potentials (with A.M. Batista) |
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2017 |
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45. |
On
a Class of Semilinear
Elliptic Eigenvalue Problems in R^2 (with E.S. Medeiros and U.B.Severo) |
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44. |
A
note on asymptotically periodic Schr
dinger equations (with R. Marchi) |
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43. |
Semilinear elliptic problems with
combined nonlinearities on the boundary (with R. Ruviaro and E.D. Silva) |
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42. |
Existence
of solution for a generalized quasilinear elliptic problem (with E.D. Silva
and M.L. Silva) |
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41. |
Multiple
solutions for a Kirchhoff equation with nonlinearity
having arbitrary growth (with H.R. Zanata) |
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2016 |
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40. |
Positive
and nodal solutions for an elliptic equation with critical
growth (with B.N. Souza) |
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39. |
Asymptotically
periodic superquadratic Hamiltonian systems (with R. Marchi) |
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38. |
Elliptic
equations with weight and combined nonlinearities (with J.P.P.
Silva and B.N. Souza) |
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2015 |
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37. |
Superlinear elliptic problems
under the non-quadraticity condition at infinity (with E.D.
Silva) |
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36. |
Nonquadraticity condition on superlinear problems (with E.D.
Silva) |
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35. |
Quasilinear
elliptic problems under asymptotically linear conditions
at infinity and at the origin (with E.D. Silva and M.L. Silva) |
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34. |
Existence
and multiplicity of self-similar solutions for heat
equations with nonlinear boundary conditions (with L.C. Ferreira and E.S. Medeiros) |
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2014 |
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33. |
A
note on the existence of positive solution for a
non-autonomous Schr dinger-
Poisson system (with L.A. Maia and E.S. Medeiros) |
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32. |
An
obstacle problem in a plane domain with two solutions (with G.M. Figueiredo and M.
Montenegro) |
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31. |
Quasilinear
Schr dinger equations with
asymptotically linear nonlinearities (with E.D. Silva and M.L. Silva) |
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30. |
Two
solutions for an elliptic equation with fast increasing
weight and concave-convex nonlinearities (with R. Ruviaro and J.P.P. Silva) |
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29. |
A
Trudinger-Moser inequality in
a weighted Sobolev space and
applications (with E.S. Medeiros and U.B.Severo) |
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2013 |
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28. |
Multiplicity
of self-similar solutions for a critical equation (with J.P.P.
Silva and M.S. Xavier) |
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2012 |
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27. |
Positive solutions for a
quasilinear Schr dinger
equation with critical growth (with
G.M. Figueiredo) |
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2011 |
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26. |
Multiple
solutions for a semilinear
problem with combined terms and nonlinear boundary
condition (with R.Ruviaro) |
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25. |
Multiplicity
of solutions for homogeneous elliptic systems with
critical growth (with J.P.P. Silva) |
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24. |
On
the number of solutions of NLS equations with magnetics
fields in expanding domains (with C.O. Alves and G.M. Figueiredo) |
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23. |
Multiple
solutions for a Schr dinger
equation with magnetic fields (with C.O. Alves and G.M. Figueiredo) |
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2010 |
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22. |
Multiplicity
and concentration of solutions for elliptic systems with
vanishing potentials (with E.A.B. Silva and M.S. Xavier) |
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21. |
On
a class of nonlinear elliptic equations with fast
increasing weight and critical growth (with O.H. Myiagaki and J.P.P. Silva) |
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20. |
Multiple
solutions for resonant elliptic systems via reduction
method (with F.O.V. dePaiva) |
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19. |
Multiple solutions for critical elliptic
systems via penalization method (with C.O. Alves and G.M. Figueiredo) |
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18. |
Multiple solutions for a null mass Neumann
problem in exterior domains (with L.A. Maia and E.S. Medeiros) |
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2009 |
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17. |
Multiplicity
of solutions for elliptic systems via local mountain pass
method (with C.O. Alves and G.M. Figueiredo) |
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2008 |
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16. |
Multiple
positive solutions for a quasilinear system of Schr
dinger equations
(with
G.M. Figueiredo) |
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15. |
Positive and
nodal solutions for a nonlinear Schr
dinger equation with indefinite potential (with L.A. Maia and E.S. Medeiros) |
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2007 |
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14. |
Positive
solutions for nonlinear elliptic equations with fast
increasing weights (with
F. Catrina and M. Montenegro) |
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13. |
Nodal
solutions for a nonhomogeneous elliptic equation with
symmetry |
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12. |
Positive
solutions for some quasilinear equations with critical and
supercritical growth (with G.M. Figueiredo) |
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2006 |
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11. |
A note on the
number of nodal solutions of an elliptic equation with
symmetry |
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10. |
On the number
of positive solution of a quasilinear elliptic problem (with
G.M. Figueiredo) |
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09. |
Multiplicity
of positive solutions for a class of elliptic equation in
divergence form (with G.M. Figueiredo) |
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08. |
Multiplicity
of solutions for resonant elliptic systems (with F.O.V. dePaiva) |
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2005 |
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07. |
Multiplicity
of nodal solutions for a critical quasilinear equation
with symmetry |
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06. |
A relation
between the domain topology and the number of minimal
nodal solutions for a quasilinear elliptic problem |
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05. |
Multiple
minimal nodal solutions for a quasilinear Schr dinger
equation with symmetric potential |
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2003 |
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04. |
Systems
with coupling in Rn for a class of noncoercive potentials
(with
L.A.Maia and E.A.B. Silva) |
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2002 |
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03. |
On
a double resonant problem in Rn
(with L.A. Maia and E.A.B. Silva) |
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02. |
Solutions for
a resonant elliptic system with coupling in Rn (with L.A.Maia
and E.A.B. Silva) |
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2001 |
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01. |
Double
resonant problems which are locally nonquadratic at
infinity (with E.A.B. Silva) |
Monographs (in portuguese)
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Notas de aula de cursos de pós-graduação |
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Notas de aula do curso de EDP2 (vers o 2.0, Maio/2023) |
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Notas
de aula do curso de M todos Variacionais (ves
o 1.1) |
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O
grau topológico de Brower
(with other
authors) |
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O
teorema de Jordan (with
other authors) |
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Métodos
variacionais - uma introdução |
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Algumas realizações de Charles Hermite |
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Education |
PhD,
Mathematics, IMECC,
UNICAMP, 2004.
Thesis: Multiplicidade de soluções nodais para problemas
elípticos quasilineares.
Advisor: Prof. Djairo
Guedes de Figueiredo.
Master Degree, Mathematics,
Depto.
Matem tica, UnB, 1999.
Thesis: Um teorema do tipo Ponto de Sela com aplicação a um
problema elíptico semilinear com dupla
ressonância.
Advisor: Prof. Elves
A.B. Silva.