Address

Institute of Mathematics "Simion Stoilow" of the Romanian Academy
P.O. Box 1-764, RO 014700 Bucharest, Romania
Phone: +40-21-3196506, Fax: +40-21-3196505

E-mail addresses: marius.ghergu@imar.ro

Thesis

Problèmes avec singularités sur la frontière pour des équation elliptiques, Thèse de doctorat, Université de Savoie (France), 25 août 2006

Research interest

• Nonlinear Partial Differential Equations of Elliptic Type
• Harmonic Functions and Classical Potential Theory
• Numerical Methods for PDE

Participation in Scientific Meetings

• 7ème Colloque Franco-Roumain de Mathématiques Appliquées , August 30 - September 3, 2004, Craiova, Romania
  
• Summer School on Global and Geometric Aspects of Nonlinear Partial Differential, July 2-8, 2006, Evolène, Switzerland
  
• 8ème Colloque Franco-Roumain de Mathématiques Appliquées, August 28 - September 1, 2006, Chambery, France
  
• European Conference on Smart Systems, October 26-28, 2006, Rome, Italy
  
• Summer School on Geometric Analysis and PDEs, June 11-16, 2007, Cetraro, Italy
  
• Summer School on Critical Point Theory and Applications, July 9-13, 2007, Cluj-Napoca, Romania
  
• Topics in Nonlinear PDEs, July 22-27, 2007, Coimbra, Portugal
  

Books

• M. Ghergu and V. Radulescu, Singular Elliptic Problems. Bifurcation and Asymptotic Analysis, Oxford University Press, 2008, in press.

Publications in Refereed Journals

1. M. Ghergu, Steady-state solutions for stationary Gierer-Meinhardt type systems with Dirichlet boundary consition, Transactions AMS, in press.
2. M. Ghergu and V. Radulescu, A singular Gierer-Meinhardt system with different source terms, Proceedings of the Royal Society of Edinburgh: Section A (Mathematics), in press.
3. M. Ghergu, G. Griso and B. Miara, Homogenization of thin piezoelectric perforated shells, M2AN (Mathematical Modelling and Numerical Analysis), 41 (2007), 875-895.
4. L. Dupaigne, M. Ghergu and V. Radulescu, Lane-Emden-Fowler equations with convection and singular potential, J. Math. Pures Appliquées (Journal de Liouville) 87 (2007), 563-581.
5. M. Ghergu and V. Radulescu, Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term, J. Math. Anal. Appl., 333 (2007), 265-273.
6. M. Ghergu and V. Radulescu, On a class of Gierer-Meinhardt systems arising in morphogenesis, C. R. Acad. Sci. Paris, Ser. I 344 (2007), 163-168.
7. M. Ghergu and V. Radulescu, Singular elliptic problems with lack of compactness, Annali di Matematica Pura ed Applicata 185 (2006), 63-79.
8. F. Cirstea, M. Ghergu and V. Radulescu, Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type, J. Math. Pures Appliquées (Journal de Liouville) 84 (2005), 493-508.
9. M. Ghergu and V. Radulescu, Multiparameter bifurcation and asymptotics for the singular Lane-Emden-Fowler equation with a convection term, Proceedings of the Royal Society of Edinburgh: Section A (Mathematics) 135 (2005), 61-84.
10. M. Ghergu, G. Griso, H. Mechkour and B. Miara, Homogeneisation de coques minces piezoelectriques perforees, Comptes Rendus Mécanique 333 (2005), 249-255.
11. M. Ghergu and V. Radulescu, On a class of sublinear singular elliptic problems with convection term, J. Math. Anal. Appl. 311 (2005), 635-646.
12. M. Ghergu and V. Radulescu, Bifurcation for a class of singular elliptic problems with quadratic convection term, C. R. Acad. Sci. Paris, Ser. I 338 (2004), 831-836.
13. M. Ghergu and V. Radulescu, Nonradial blow-up solutions of sublinear elliptic equations with gradient term, Communications on Pure and Applied Analysis 3 (2004), 465-474.
14. M. Ghergu and V. Radulescu, Sublinear singular elliptic problems with two parameters, J. Differential Equations 195 (2003), 520-536.
15. M. Ghergu and V. Radulescu, Bifurcation and asymptotics for the Lane-Emden-Fowler equation, C. R. Acad. Sci. Paris, Ser. I 337 (2003), 259-264.
16. M. Ghergu and V. Radulescu, Existence and nonexistence of entire solutions to the logistic differential equation, Abstract and Applied Analysis 17 (2003), 995-1003.
17. M. Ghergu, Small perturbations of degenerate elliptic equations with lack of compactness, Math. Sci. Res. J. 7 (2003), 353-365.
18. M. Ghergu and V. Radulescu, Explosive solutions of semilinear elliptic systems with gradient term, RACSAM Revista Real Academia de Ciencias (Serie A, Matematicas) 97 (2003), 437-445.
19. M. Ghergu, C. Niculescu and V. Radulescu, Explosive solutions of elliptic equations with absorption and nonlinear gradient term, Proc. Indian Acad. (Math. Sciences) 112 (2002), 1-11.

Publications in Refereed Conference Proceedings

1. M. Ghergu, G. Griso and B. Miara, Homogenization of thin piezoelectric shells, in Topics on Mathematics for Smart Systems, Proceedings of the European Conference on Smart Systems, October 26-28, 2006, Rome, Italy (B. Miara, G. Stavroulakis, and V. Valente, Eds.), World Scientific, 2007, pp. 140-146.
2. M. Ghergu and V. Radulescu, On the influence of convection term in singular elliptic problems, in Applied Analysis and Differential Equations, (O. Carja, I. Vrabie, Eds.), World Scientific, 2007, pp. 127-138.
3. M. Ghergu and V. Radulescu, Singular elliptic problems with convection term in anisotropic media , Proceedings of the 7th Conference on Analysis and Applications, Craiova, September 23-24, 2005 (C. Niculescu, V. Radulescu, Eds.), American Institute of Physics, 2006, 76-90.
4. M. Ghergu, G. Griso, B. Labat, H. Mechkour, B. Miara, E. Rohan, M. Zidi, Homogeneisation et piezoelectricite. Aide a la conception d'un bio-materiau , Proceedings of the 7th Franco-Romanian Colloquium on Applied Mathematics, Craiova, August 30 - September 3, 2004, An. Univ. Craiova Ser. Mat. Inform. 32 (2005), 9--15.
5. M. Ghergu, Bifurcations and asymptotics for singular elliptic problems , Proceedings of the 7th Franco-Romanian Colloquium on Applied Mathematics, Craiova, August 30 - September 3, 2004, An. Univ. Craiova Ser. Mat. Inform. 32 (2005), 143--149.