1. C. De Vita, J. Fernández Bonder and P. Groisman. he energy landscape of the Kuramoto model in one-dimensional random geometric graphs in a circle. To appear in SIAM J. Appl. Dyn. Sys. (SIADS) pdf
2. I. Ceresa Dussel and J. Fernández Bonder. Existence of Eigenvalues for Anisotropic and Fractional Anisotropic Problems via Ljusternik-Schnirelmann Theory. To appear in Topol Methods Nonlinear Anal. pdf
3. J. Fernández Bonder and J.F. Spedaletti. Ljusternik--Schnirelmann eigenvalues for the fractional $m-$Laplacian without the $\Delta_2$ condition. To appear in Commun. Pure Appl. Anal. pdf
4. J. Fernández Bonder and A.M. Salort. Asymptotic behavior for anisotropic fractional energies. To appear in Israel J. Math. pdf

1. J. Fernández Bonder, A.M. Salort and H. Vivas. Homogeneous eigenvalue problems in Orlicz-Sobolev spaces Topol. Methods Nonlinear Anal. 63 (2024), no. 2, 429--435. pdf
2. J. Fernández Bonder and A. Silva. The concentration-compactness principle for Orlicz spaces and applications. Math. Nach., 297 (2024), no. 11, 4044--4066. pdf
3. A. Aragón, J. Fernández Bonder and D. Rubio. Effective numerical computations of p(x)--Laplace equations in 2D. Int. J. Comput. Math. 100 (2023), no. 11, 2111--2123. pdf
4. J. Fernández Bonder, A.M. Salort and H. Vivas. Global Hölder regularity for eigenfunctions of the fractional g-Laplacian. J. Math. Appl. Anal. 526 (2023), no. 1, Paper No. 127332, 15 pp. pdf
5. I. Ceresa Dussel and J. Fernández Bonder. A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations J. Math. Anal. Appl., 519 (2023), no. 2, Paper 126805, 25pp. pdf
6. J. Fernández Bonder, A.M. Salort and H. Vivas. Interior and up to the boundary regularity for the fractional $g-$Laplacian: the convex case. Nonlinear Anal., 223 (2022), Paper No. 113060, 31pp.. pdf
7. J. Fernández Bonder, M. Pérez-Llanos and A. Salort. A Hölder infinity laplacian obtained as limit of Orlicz fractional laplacians.  Rev. Mat. Complut. 35 (2022), no. 2, 447--483. pdf
8. J. Fernández Bonder, A. Silva and J.F. Spedaletti. Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems. Discrete and Continuous Dynamical Systems, 41 (2021), no. 5, 2125--2140.  pdf
9. J. Fernández Bonder, Z. Cheng and H. Mikayelyan. Fractional optimal maximization problem and the unstable fractional obstacle problem. Journal of Mathematical Analysis and Applications, 495 (2021), 124686.  pdf
10. J. Fernández Bonder and A.M. Salort. Magnetic fractional order Orlicz-Sobolev spaces. Studia Mathematica, 259 (2021), 1--24.   pdf
11. P. De Nápoli, J. Fernández Bonder and A.M. Salort. A Pólya-Szegó principle for general fractional Orlicz-Sobolev spaces.  Complex Variables and Elliptic Equations, 66 (2021), no. 4, 546--568. pdf
12. J. Fernández Bonder and A.M. Salort Stability of solutions for nonlocal problems. Nonlinear Analysis, 200 (2020), 112080.   pdf
13. J. Fernández Bonder, Z. Cheng and H. Mikayelyan. Optimal rearrangement problem and normalized obstacle problem in the fractional setting.  Advances in Nonlinear Analysis, 9 (2020), no. 1, 1592--1606. pdf
14. J. Fernández Bonder and A.M. Salort. Fractional order Orlicz-Sobolev spaces. J. Functional Anal. 277 (2019), no. 2, 333--367. pdf
15. J. Fernández Bonder, A. Silva and J.F. Spedaletti. Uniqueness of minimal energy solutions for a semilinear problem involving the fractional laplacian. Proc. Amer. Math. Soc. 147 (2019), no. 7, 2925--2936. pdf
16. J. Fernández Bonder, A. Ritorto and A.M. Salort. Shape optimization problems for nonlocal operators. Adv. Calc. Var. 11 (2018), no. 4, 373--386. pdf
17. J. Fernández Bonder, N. Saintier and A. Silva. The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem. NoDEA Nonlinear Differential Equations Appl. 25 (2018), no. 6, Art. 52, 25 pp. pdf
18. C. Baroncini and J. Fernández Bonder. A shape-derivative approach to some PDE model in image restoration. Electron. J. Differential Equations, Vol. 2018 (2018), No. 146, pp. 1-18.   pdf
19. J. Fernández Bonder, J.D. Rossi and J.F. Spedaletti. Optimal design problems for the first $p-$fractional eigenvalue with mixed boundary conditions. Adv. Nonlinear Stud. 18 (2018), no. 2, 323--335.  pdf
20. L. Del Pezzo, J. Fernández Bonder and L. López Ríos.  An optimization problem for the first eigenvalue of the $p-$fractional laplacian. Math. Nachr. 291 (2018), no. 4, 632--651.  pdf
21. J. Fernández Bonder and J.F. Spedaletti.  Some nonlocal optimal design problems. J. Math. Anal. Appl., 459 (2018), no. 2, 906--931.   pdf
22. C. Baroncini, J. Fernández Bonder and J.F. Spedaletti. Continuity results with respect to domain perturbation for the fractional $p-$laplacian. Appl. Math. Lett. 75 (2018), 59--67.  pdf
23. J. Fernández Bonder, A. Ritorto and A.M. Salort. H-convergence result for nonlocal elliptic-type problems via Tartar's method. SIAM J. Math. Anal., 49 (2017), no. 4, 2387--2408.   pdf
24. J. Fernández Bonder, J.P. Pinasco and A.M. Salort. Homogenization of Fucik eigencurves. Mediterr. J. Math., 14 (2017), no. 2, 14--90. pdf
25. J. Fernández Bonder and J.F. Spedaletti. A shape optimization problem for Steklov eigenvalues in oscillating domains.   ESAIM Control Optim. Calc. Var. 23 (2017), 373--390. pdf
26. J.P. Borthagaray, J. Fernández Bonder and A. Silva.  A mass transportation approach for Sobolev inequalities in variable exponent spaces.   Manuscripta Math. 151 (2016), no. 1-2, 133--146. pdf
27. J. Fernández Bonder, N. Saintier and A. Silva. A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces.  J. Math. Anal. Appl., 442 (2016), no. 1, 189--205. pdf
28. J. Fernández Bonder, J.P. Pinasco and A.M. Salort. A Lyapunov type inequality for indefinite weights and eigenvalue homogenization.   Proc. Amer. Math. Soc. 144 (2016), no. 4, 1669--1680. pdf
29. J. Fernández Bonder, J.P. Pinasco and A.M. Salort. Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions.  Electron. J. Differential Equations, 2016 (2016), no. 30, 1--15. pdf
30. J. Fernández Bonder, J.P. Pinasco and A.M. Salort. Eigenvalue homogenization problem with indefinite weights.   Bull. Aust. Math. Soc., 93 (2016), no. 1, 113--127. pdf
31. C. Baroncini and J. Fernández Bonder. An extension of a Theorem of V. Sverák to variable exponent spaces.  Commun. Pure Appl. Anal.  14 (2015), no. 5, 1987--2007. pdf
32. J. Fernández Bonder, N. Saintier and A. Silva. Existence of solution to a critical trace equation with variable exponent.  Asymp. Anal.  93 (2015), 161--185. pdf
33. J. Fernández Bonder, J.P. Pinasco and A.M. Salort. Quasilinear eigenvalues. Rev. Un. Mat. Argentina  56 (2015), no. 1, 1--25.pdf
34. J. Fernández Bonder, J.P. Pinasco and A.M. Salort. Convergence rate for quasilinear eigenvalue homogenization. J. Math. Anal. Appl.  423 (2015), 1427--1447. pdf
35. J. Fernández Bonder, N. Saintier and A. Silva. On the Sobolev trace Theorem for variable exponent spaces in the critical range. Ann. Mat. Pura Appl. (4), 193 (2014), 1607--1628. pdf
36. J. Fernández Bonder, G. Giubergia and F. Mazzone. An optimization problem for nonlinear Steklov eigenvalues with a boundary potential. J. Math. Anal. Appl.  417 (2014), 234--243. pdf
37. J. Fernández Bonder, N. Saintier and A. Silva. Existence of solution to a critical equation with variable exponent. Ann. Acad. Sci. Fenn. Math.  37 (2012), 579--594. pdf
38. J. Fernández Bonder, N. Saintier and A. Silva. On the Sobolev embedding theorem for variable exponent spaces in the critical range.  J. Differential Equations 253 (2012), no. 5, 1604--1620. pdf
39. L. Del Pezzo, J. Fernández Bonder and W. Neves. Optimal boundary holes for the Sobolev trace constant. J. Differential Equations, 251 (2011), no. 8, 2327--2351. pdf
40. J. Fernández Bonder and A. Silva. The concentration-compactness principle for variable exponent spaces and applications. Electron. J. Differential Equations, 2010 (2010), no. 141, 1--18. pdf
41. J. Fernández Bonder, J.P. Pinasco and A.M. Salort. Refined asymptotics for eigenvalues on domains of infinite measure. J. Math. Anal. Appl., 371 (2010), no. 1, 41--56. pdf
42. J. Fernández Bonder and J.P. Pinasco. Precise asymtotic of eigenvalues of resonant quasilinear systems. J. Differential Equations, 249 (2010), 136--150. pdf
43. L. Del Pezzo and J. Fernández Bonder. An optimization problem for the first weighted eigenvalue problem plus a potential. Proc. Amer. Math. Soc., 138 (2010), no. 10, 3551--3567. pdf
44. L. Del Pezzo and J. Fernández Bonder. Remarks on an optimization problem for the $p-$Laplacian. Appl. Math. Lett., 23 (2010), 188--192. pdf
45. J. Fernández Bonder, S. Martínez and N. Wolanski. A free boundary problem for the $p(x)-$Laplacian. Nonlinear Anal. TMA., 72 (2010), 1078--1103. pdf
46. P. De Nápoli, J. Fernández Bonder and A. Silva. Multiple solutions for the $p-$laplace operator with critical growth. Nonlinear Anal. TMA., 71 (2009), 6283--6289. pdf
47. J. Fernández Bonder, P. Groisman and J.D. Rossi. Continuity of the explosion time in stochastic differential equations. Stochastic Anal. Appl., 27 (2009), no. 5, 984--999. pdf
48. J. Fernández Bonder, R. Orive and J.D. Rossi. The best Sobolev trace constant in periodic media for critical and subcritical exponents. Glasgow Math. J., 51 (2009), 619--630. pdf
49. L. Del Pezzo and J. Fernández Bonder. Some optimization problems for p-Laplacian type equations. Appl. Math. Optim., 59 (2009), 365--381. pdf
50. J. Fernández Bonder and P. Groisman. Time--space white noise eliminates global solutions in reaction diffusion equations. Physica D, 238 (2009), 209--215. pdf
51. J. Fernández Bonder, J.D. Rossi and C.B. Shönlieb. The best constant and extremals of the Sobolev embeddings in domains with holes: The L^\infty case. Illinois J. Math., 52 (2008), no. 4, 1111--1121. pdf
52. J. Fernández Bonder, J.D. Rossi and C.B. Shönlieb. An optimization problem related to the best Sobolev trace constant in thin domains. Commun. Contemp. Math., 10 (2008), no. 5, 1--18. pdf
53. J. Fernández Bonder and N. Saintier. Estimates for the Sobolev trace constant with critical exponent and applications. Ann. Mat. Pura Appl. (4), 187 (2008), no. 4, 683--704. pdf
54. J. Fernández Bonder and J.P. Pinasco. Estimates for eigenvalues of quasilinear elliptic systems. Part II. J. Differential Equations, 245 (2008), no. 4, 875--891. pdf
55. J. Fernández Bonder, R. Orive and J.D. Rossi. The best Sobolev trace constant in domains with holes for critical or subcritical exponents. ANZIAM J., 49 (2007), 213--230. pdf
56. J. Fernández Bonder, S. Martínez and J.D. Rossi. Existence results for gradient elliptic systems with nonlinear boundary conditions. NoDEA Nonlinear Differential Equations Appl., 14 (2007), no. 1-2, 153--179. pdf
57. J. Fernández Bonder, R. Orive and J.D. Rossi. The best Sobolev trace constant in a domain with oscillating boundary. Nonlinear Anal. TMA. 67 (2007), 1173--1180. pdf
58. J. Fernández Bonder, P. Groisman and J.D. Rossi. Optimization of the first Steklov eigenvalue in domains with holes: A shape derivative approach. Ann. Mat. Pura Appl. (4), 186 (2007), no. 2, 341--358. pdf
59. L. Del Pezzo, J. Fernández Bonder and J.D. Rossi. An optimization problem for the first Steklov eigenvalue of a nonlinear problem. Differential Integral Equations, 19 (2006), no. 9, 1035--1046. pdf
60. L. Del Pezzo and J. Fernández Bonder. An optimization problem for the first eigenvalue of the p-Laplacian plus a potential. Commun. Pure Appl. Anal. 5 (2006), no. 4, pp. 675--690. pdf
61. J. Fernández Bonder, J.D. Rossi and N. Wolanski. On the best Sobolev trace constant and extremals in domains with holes. Bull. Sci. Math. 130 (2006), 565--579. pdf
62. J. Fernández Bonder. Multiple solutions for the p-laplace equation with nonlinear boundary conditions. Electron. J. Differential Equations, 2006 (2006), no. 37, pp. 1-7. pdf
63. J. Fernández Bonder, S. Martinez and N. Wolanski. An optimization problem with volume constrain for a degenerate quasilinear operator. J. Differential Equations, 227 (2006), no. 1, pp. 80-101. pdf
64. J. Dávila, J. Fernández Bonder, P. Groisman, J.D. Rossi and M. Sued. Numerical analysis of stochastic differential equations with explosions Stochastic Anal. Appl., 23 (2005), no. 4, 809--825. ps
65. J. Fernández Bonder, J.D. Rossi and N. Wolanski. Regularity of the free boundary in an optimization problem related to the best Sobolev trace constant. SIAM J. Control Optim., 44 (2005), no. 5, 1614--1635. pdf
66. J. Fernández Bonder and J.P. Pinasco. Eigenvalues of the p-laplacian in fractal strings with indefinite weights. J. Math. Anal. Appl., 308 (2005), no. 2, 764--774. pdf
67. J. Fernández Bonder and J.D. Rossi. On the existence of extremals for the Sobolev trace embedding theorem with critical exponent. Bull. London Math. Soc. 37 (2005), no. 1, 119--125. pdf
68. J. Fernández Bonder. Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities. Abstr. Appl. Anal. 2004 (2004), no. 12, 1047--1056. pdf
69. J. Fernández Bonder, S. Martínez and J.D. Rossi. The behavior of the best Sobolev trace constant and extremals in thin domains. J. Differential Equations, 198 (2004), no. 1, 129--148. pdf
70. J. Fernández Bonder, E. Lami Dozo and J.D. Rossi. Symmetry properties for the extremals of the Sobolev trace embedding. Ann. Inst. H. Poincaré Anal. Non Linéaire. 21 (2004), no. 6, 795--805. pdf
71. J. Fernández Bonder and N. Wolanski. Uniqueness of limit solutions to a free boundary problem from combustion. SIAM J. Math. Anal., 36 (2004), no. 1, 172--185. pdf
72. J. Fernández Bonder, R. Ferreira and J.D. Rossi. Uniform bounds for the best Sobolev trace constant. Advanced Nonlinear Studies, 3 (2003), 181--192. pdf
73. J. Fernández Bonder and J.P. Pinasco. Asymptotic behavior of the eigenvalues of the one dimensional weighted p-laplace operator. Ark. Mat., 41 (2003), 267--280. pdf
74. G. Acosta, J. Fernández Bonder, P. Groisman and J.D. Rossi. Simultaneous vs. non-simultaneous blow-up in numerical approximations of a parabolic system with nonlinear boundary conditions. M2AN Math. Model. Numer. Anal., 36 (2002), no. 1, 55--68. pdf
75. G. Acosta, J. Fernández Bonder, P. Groisman and J.D. Rossi. Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions. Discrete Contin. Dynam. Systems - Series B, 2 (2002), no. 2, 279--294. pdf
76. J. Fernández Bonder and J.D. Rossi. Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains. Commun. Pure Appl. Anal. 1 (2002), no. 3, 359--378. pdf
77. J. Fernández Bonder and J.D. Rossi. A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding. Publ. Mat., 46 (2002), 221--235. pdf
78. J. Fernández Bonder, P. Groisman and J. D. Rossi. On numerical blow-up sets. Proc. Amer. Math. Soc., 130 (2002), no. 7, 2049--2055. pdf
79. J. Fernández Bonder and J.D. Rossi. A fourth order elliptic equation with nonlinear boundary conditions. Nonlinear Anal. TMA. 49 (2002), no. 8, 1037--1047. pdf
80. J. Fernández Bonder and J.D. Rossi. Existence results for the p-Laplacian with nonlinear boundary conditions. J. Math. Anal. Appl., 263 (2001), 195--223. pdf
81. J. Fernández Bonder and J.D. Rossi. Life span for solutions of the heat equations with a nonlinear boundary condition. Tsukuba J. Math, 25 (2001), no. 1, 215--220. pdf
82. J. Fernández Bonder and J.D. Rossi. Existence for an elliptic system with nonlinear boundary conditions via fixed point methods. Advances Differential Equations, 6 (2001), no. 1, 1--20. pdf
83. J. Fernández Bonder and J.D. Rossi. Blow-up vs. spurious steady solutions. Proc. Amer. Math. Soc., 129 (2001), no. 1, 139--144. pdf
84. G. Acosta, J. Fernández Bonder and J.D. Rossi. Stable manifold approximation for the heat equation with nonlinear boundary conditions. J. Dynam. Differential Equations, 12 (2000), no. 3, 557--578. pdf
85. J. Fernández Bonder and J.D. Rossi. Asymptotic behavior for a parabolic system with nonlinear boundary conditions. Collect. Math., 51 (2000), no. 3, 285--308. pdf
86. J. Fernández Bonder and N. Wolanski. A free boundary problem in combustion theory. Interfaces Free Bound., 2 (2000), 381--411. pdf
87. J. Fernández Bonder, J. P. Pinasco and J.D. Rossi. Existence results for a Hamiltonian elliptic system with nonlinear boundary conditions. Electron. J. Differential Equations, 40 (1999), 1--15. pdf

Top

Proceedings

1. J. Fernández Bonder, J.P. Pinasco and J.D. Rossi. Infinitely many solutions for an elliptic system with nonlinear boundary conditions. Electron. J. Differential Equations, Conf. 06 (2001), 141--154. pdf
2. J. Fernández Bonder. On the existence of extremals for the critical Sobolev immersion with variable exponents. Actas del XIII Congreso ''Dr. Antonio A. R. Monteiro'' (2013), 2014, 77--82. pdf

Top

Lecture Notes

1. J. Fernández Bonder. Ecuaciones Diferenciales Parciales. Lecture notes for the regular course at the University of Buenos Aires, Cursos de Grado del Departamento de Matemática, Fascículo 7, 2015 (in spanish). pdf (1.2Mb)
2. J. Fernández Bonder and P. Groisman. Explosiones en ecuaciones diferenciales estocásticas. Cursos y Seminarios, Serie B, Departamento de Matemática, Fascículo 1, 2006 (in spanish). pdf (648KB)

Top

PhD Dissertation

1. A free boundary problem in combustion theory. Universidad de Buenos Aires, 2002. pdf (525KB)

Top