Doctora en Ciencias Matemáticas (Ph.D. in Mathematics)

Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, FCEyN UBA

Licenciada en Ciencias Matemáticas, FCEyN - UBA

Licenciada en Ciencias Físicas FCEyN - UBA

Address for correspondence

Departamento de Matemática,
Facultad de Ciencias Exactas y Naturales,

Universidad de Buenos Aires
Ciudad Universitaria, Pabellón I
(1428) Buenos Aires
Argentina
Email:  mcmarian@dm.uba.ar
 

Research Interests

Applied Mathematics, Nonlinear partial differential equations with applications to Physics and Finance, Numerical Methods.

My research group has a  web site

1. Existence and uniqueness of H-system's with Dirichlet conditions.

P Amster, M. C. Mariani and D. Rial.

Nonlinear Analysis 42 (2000), 673-77.
 
 

2. Solutions to the mean cuvature equation by fixed point methods.

M. C. Mariani and D. Rial.

Bulletin of The Belgian Mathematical Society 4 (1997), 1-4.
 
 

3. Resolution of Semilinear Equations by Fixed Point Methods.

P. Amster and M. C. Mariani.

Bulletin of The Belgian Mathematical Society 7 (2000), 215-220
 
 

4. The prescribed mean curvature equation with Dirichlet conditions.

P. Amster and M. C. Mariani.

Nonlinear Analysis 44 (2001), 59-64.
 
 

5. Solutions to general quasilinear elliptic second order problems.

P. Amster, M. M. Cassinelli and M. C. Mariani.

Nonlinear Studies 7 Nº2, 2000, 283-289.
 
 

6. An improvement in the determination of thermal properties of elastomeric compounds.

M. C. Mariani, M. P. Beccar Varela and A. J. Marzocca.

KGK Kautschuk Gummi Kunststoffe, Vol. 50, p. 39-42, 1997.
 
 

7. Influence of the carbon black dispersion in the thermal diffusivity of SBR vulcanizates.

S. Goyanes, M. P. Beccar Varela, M. C. Mariani, A. J. Marzocca.

Journal of Applied Polymer Sciences, Vol. 72, 1379-1385, 1999.
 
 

8. Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface.

P. Amster, M. Cassinelli, M. C. Mariani and D.F. Rial.

Abstract and Applied Analysis, Vol 4 (1) 1999..
 
 

9. Solutions to the prescribed mean curvature equation with Dirichlet conditions by variational methods.

P. Amster, P. De Napoli and M. C. Mariani.

Proyecciones 18, 2 (1999), 155-164.
 
 

10. Magnetic susceptibility minimization respect to the gauge.

M. P. Beccar Varela, C. Caputo, M. Ferraro, P. Lazzeretti, M. C. Mariani and D. Rial.

International Journal of Quantum Chemistry , Vol 77, 599-606 (2000).
 
 

11. Solutions to the mean curvature equation for nonparametric surfaces by fixed point methods.

P. Amster, J.P. Borgna, M. C. Mariani, and D.F. Rial.

Revista de la Unión Matemática Argentina, Vol.41, 3, 1999, 15-21.
 
 

12. Solutions to quasilinear equations by an iterative method.

P. Amster, M. M. Cassinelli and M. C. Mariani.

Bulletin of the Belgian Mathematical Society 7 (2000), 435-441.
 

13. Existence of solutions for elliptic systems with critical Sobolev exponent.

P. Amster, P. De Napoli, M. C. Mariani.

Electronic Journal of Differential Equations Vol. 2002 (2002) 49, 1-13.

14. Solutions of H-systems using the Green function.

P. Amster, M.C. Mariani and D. Rial.

Bulletin of the Belgian Mathematical Society 7 (2000), 487-492.
 
 

15. A boundary value problem for a semilinear second order ODE.

P. Amster, M.C.Mariani and J. Sabia

Revista de la Unión Matemática Argentina 41 Nº4 (2000), 61-68.
 
 

16. A boundary value problem in the hyperbolic space.

P. Amster, G. Keilhauer and M.C.Mariani

Abstract and Applied Analysis, Vol 4 (4) 1999.
 
 

17. An iteration procedure for nonlinear boundary conditions.

P. Amster and M.C.Mariani

Revista de la Unión Matemática Argentina 42 Nº1 (2000), 9-16.
 
 

18. Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors.

P.Amster, M.P. Beccar Varela, A. Jüngel y M.C.Mariani.

Journal of Mathematical Analysis and Applications 258 (2001), 52-62.
 

19. Nonlinear periodic-type conditions for a second order  ODE

P. Amster, M. C. Mariani, D.Pinasco.

Nonlinear Studies, Vol. 8, 2, 2001.
 

20. Dirichlet and periodic-type conditions for a Painlevé II Equation

P.Amster, M.C.Mariani and C. Rogers.

Journal of Mathematical Analysis and Applications 265 (2002), 1-11.
 
 

21. Existence results for the mean curvature equation.

P.Amster and M.C.Mariani

Journal of Nonlinear Analysis: Series A Theory and Methods 47 (2001) 4845-4848.

22. Three solutions for quasilinear equations in Rⁿ near resonance.

P. De Nápoli and M.C.Mariani.

Electronic Journal of Differencial Equations, 2001, pp. 131-140.
 
 
 

23. Solvability and uniqueness results for equations of mean curvature type.

P.Amster and M.C.Mariani.

Revista de la Unión Matemática Argentina 42 Nº1 (2000), 75-83.
 
 

24. Solutions to equations of p-Laplacian type in Lorentz spaces.

P. De Nápoli and M.C.Mariani.

Bulletin of The Belgian Mathematical Society 8 (2001), 469-477.
 
 
 

25. A Fixed Point Operator for a Nonlinear Boundary Value Problem.

P.Amster,  M.C.Mariani.

Journal of Mathematical Analysis and Applications 266 (2002), 160-168.
 
 

26. Local Existence of Solutions to the Transient Quantum Hydrodynamic Equations.

A. Jüngel, M.  C. Mariani, D. F. Rial.

To appear in Mathematical Models and Methods in Applied Science, M3AS.
 
 

27. Multiple solutions of a stationary nonhomogeneous nonlinear Schrodinger equation.

P. Amster, J. P. Borgna, M.  C. Mariani, D. F. Rial.

To appear in  Revista de la Unión Matemática Argentina.
 
 

28. The prescribed mean curvature equation for nonparametric surfaces.

P. Amster,  M.  C. Mariani.

To appear in Nonlinear Analysis.
 

29. A second order ODE with a nonlinear final condition.

P. Amster, M.  C. Mariani.

Electronic Journal of Differencial Equations 2001, 75, 1-9.
 

30.  Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.

P. De Napoli, M. C. Mariani.

Abstract and Applied Analysis 7:3 (2002) 155-167.
 
 

31. Mountain Pass Solutions to Equations of p-Laplacian type.

P. De Nápoli, M.C. Mariani

To appear in Nonlinear Analysis.

32. Equations of p-Laplacian Type in Unbounded Domains.

P. De Nápoli, M.C. Mariani

To appear in Advanced Nonlinear Studies.
 

33. Solutions to a stationary nonlinear Black-Scholes type equation.

P. Amster, C. G. Averbuj and M. C. Mariani

To appear in Journal of Mathematical Analysis and Applications.