People_

Professor Florica-Corina Cirstea

Phone

9351 2965

Fax

9351 4534

Email

florica.cirstea@sydney.edu.au

Address

F07 - Carslaw Building

The University of Sydney

Research interests

Member of the Nonlinear Analysis Research Group.

This group is concerned with the study of nonlinear equations (including nonlinear ordinary and partial differential equations) and their application to a wide variety of problems. The importance of nonlinearity is emphasised by the fact that even very simple nonlinear systems can behave in a complicated way, for example, they may display chaotic behaviour. The field is a very active one at present, with many developments occurring both on the theoretical and the application sides and research of both types occurs within the group.

Teaching and supervision

Timetable

Current research students

Project title	Research student
Harnack inequalities in nonlinear diffusion problems	Jessica SLEGERS

Publications

By Type

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Book Chapters

Cirstea, F., Niculescu, C. (2004). Existence and non-existence results for some degenerate quasilinear problems with indefinite non-linearities. In Y J Cho, J K Kim & K S Ha (Eds.), Differential equations and applications, (pp. 63-80). Hauppauge, NY: Nova Science Publishers.
Barnett, N., Cirstea, F., Dragomir, S. (2003). Some inequalities for the integral mean of Holder continuous functions defined on disks in a plane. In Yeol Je Cho, Jong Kyu Kim, Server S. Dragomir (Eds.), Inequality Theory and Applications, (pp. 7-19). Hauppauge, NY: Nova Science Publishers.

Journals

Brandolini, B., Cirstea, F. (2024). Boundedness of solutions to singular anisotropic elliptic equations. Discrete and Continuous Dynamical Systems - Series S, 17(4), 1545-1561. [More Information]
Brandolini, B., Cirstea, F. (2023). Anisotropic elliptic equations with gradient-dependent lower order terms and L1 data. Mathematics in Engineering, 5(4), 1-33. [More Information]
Brandolini, B., Cirstea, F. (2023). Singular anisotropic elliptic equations with gradient-dependent lower order terms. Nonlinear Differential Equations and Applications NoDEA, 30(58), 1-58. [More Information]
Cirstea, F. (2021). Proofs Of Urysohn's Lemma And The Tietze Extension Theorem Via The Cantor Function. Bulletin of the Australian Mathematical Society, 103(3), 326-332. [More Information]
Cirstea, F., Farcaseanu, M. (2021). Sharp existence and classification results for nonlinear elliptic equations in RN\{0} with Hardy potential. Journal of Differential Equations, 292, 461-500. [More Information]
Ching, J., Cirstea, F. (2020). Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearity. Proceedings of the Royal Society of Edinburgh Section A (Mathematics), 150(3), 1361-1376. [More Information]
Cirstea, F., Robert, F., Vetois, J. (2019). Existence of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity. Mathematische Annalen, 375, 1193-1230. [More Information]
Cirstea, F., Robert, F. (2017). Sharp asymptotic profiles for singular solutions to an elliptic equation with a sign-changing non-linearity. Proceedings of the London Mathematical Society, 114(1), 1-34. [More Information]
Chang, T., Cirstea, F. (2017). Singular solutions for divergence-form elliptic equations involving regular variation theory: Existence and classification. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 34(6), 1483-1506. [More Information]
Ching, J., Cirstea, F. (2015). Existence and classification of singular solutions to nonlinear elliptic equations with a gradient term. Analysis and PDE, 8(8), 1931-1962. [More Information]
Cirstea, F., Vetois, J. (2015). Fundamental Solutions for Anisotropic Elliptic Equations: Existence and A Priori Estimates. Communications in Partial Differential Equations, 40(4), 727-765. [More Information]
Cirstea, F. (2014). A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials. Memoirs of the American Mathematical Society, 227(1068), 1-97. [More Information]
Brandolini, B., Chiacchio, F., Cirstea, F., Trombetti, C. (2013). Local behaviour of singular solutions for nonlinear elliptic equations in divergence form. Calculus of Variations and Partial Differential Equations, 48(3-4), 367-393. [More Information]
Cirstea, F., Du, Y. (2010). Isolated singularities for weighted quasilinear elliptic equations. Journal of Functional Analysis, 259(1), 174-202. [More Information]
Chaudhuri, N., Cirstea, F. (2009). On trichotomy of positive singular solutions associated with the Hardy-Sobolev operator. Academie des Sciences. Comptes Rendus. Mathematique, 347(3-4), 153-158. [More Information]
Cirstea, F., Trombetti, C. (2008). On the Monge--Ampere equation with boundary blow-up: existence, uniqueness and asymptotics. Calculus of Variations and Partial Differential Equations, 31(2), 167-186. [More Information]
Cirstea, F., Dragomir, S. (2008). Representation of multivariate functions via the potential theory and applications to inequalities. Journal of Inequalities and Applications, 2008, 1-15. [More Information]
Cirstea, F., Du, Y. (2007). Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. Journal of Functional Analysis, 250(2), 317-346. [More Information]
Cirstea, F., Radulescu, V. (2007). Boundary blow-up in nonlinear elliptic equations of Bieberbach-Rademacher type. Transactions of the American Mathematical Society, 359(7), 3275-3286. [More Information]
Cirstea, F. (2007). Elliptic equations with competing rapidly varying nonlinearities and boundary blow-up. Advances in Differential Equations, 12(9), 995-1030.
Cirstea, F., Du, Y. (2007). Large solutions of elliptic equations with a weakly superlinear nonlinearity. Journal d'Analyse Mathematique, 103(1), 261-277. [More Information]
Cirstea, F., Radulescu, V. (2006). Nonlinear problems with boundary blow-up: a Karamata regular variation theory approach. Asymptotic Analysis, 46(3-4), 275-298.
Cirstea, F., Ghergu, M., Radulescu, V. (2005). Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type. Journal de Mathematiques Pures et Appliquees, 84(4), 493-508. [More Information]
Cirstea, F., Du, Y. (2005). General uniqueness results and variation speed for blow-up solutions of elliptic equations. Proceedings of the London Mathematical Society, 91(2), 459-482. [More Information]
Cirstea, F. (2004). An extreme variation phenomenon for some nonlinear elliptic problems with boundary blow-up. Academie des Sciences. Comptes Rendus. Mathematique, 339(10), 689-694. [More Information]
Cirstea, F., Radulescu, V. (2004). External singular solutions for degenerate logistic-type equations in anisotropic media. Academie des Sciences. Comptes Rendus. Mathematique, 339(2), 119-124. [More Information]
Cirstea, F., Radulescu, V. (2003). Asymptotics for the blow-up boundary solution of the logistic equation with absorption. Academie des Sciences. Comptes Rendus. Mathematique, 336(3), 231-236. [More Information]
Cirstea, F., Radulescu, V. (2003). Solutions with boundary blow-up for a class of nonlinear elliptic problems. Houston Journal of Mathematics, 29(3), 821-829.
Cirstea, F., Radulescu, V. (2002). Blow-up boundary solutions of semilinear elliptic problems. Nonlinear Analysis, 48(4), 521-534.
Cirstea, F., Radulescu, V. (2002). Entire solutions blowing up at infinity for semilinear elliptic systems. Journal de Mathematiques Pures et Appliquees, 81(9), 827-846.
Cirstea, F., Radulescu, V. (2002). Existence and uniqueness of blow-up solutions for a class of logistic equations. Communications in Contemporary Mathematics, 4(3), 559-586.
Cirstea, F., Radulescu, V. (2002). Uniqueness of the blow-up boundary solution of logistics equations with absorption. Academie des Sciences. Comptes Rendus. Mathematique, 335(5), 447-452.
Cirstea, F., Radulescu, V. (2001). Existence implies uniqueness for a class of singular anisotropic elliptic boundary value problems. Mathematical Methods in the Applied Sciences, 24(11), 771-779. [More Information]
Cirstea, F., Radulescu, V. (2001). On a class of quasilinear eigenvalue problems on unbounded domains. Archiv der Mathematik, 77(4), 337-346.
Cirstea, F., Radulescu, V. (2001). On a double bifurcation quasilinear problem arising in the study of anisotropic continuous media. Proceedings of the Edinburgh Mathematical Society, 44(3), 527-548.
Cirstea, F., Motreanu, D., Radulescu, V. (2001). Weak solutions of quasilinear problems with nonlinear boundary condition. Nonlinear Analysis, 43(5), 623-636.
Cirstea, F., Radulescu, V. (2000). Existence and non-existence results for a quasilinear problem with nonlinear boundary condition. Journal of Mathematical Analysis and Applications, 244(1), 169-183. [More Information]
Cirstea, F., Radulescu, V. (2000). Multiple solutions of degenerate perturbed elliptic problems involving a subcritical Sobolev exponent. Topological Methods In Nonlinear Analysis, 15(2), 283-300.
Cirstea, F., Radulescu, V. (2000). Multiplicity of solutions for a class of nonsymmetric eigenvalue hemivariational inequalities. Journal of Global Optimization, 17(1-4), 43-54.
Cirstea, F., Radulescu, V. (1999). Existence and uniqueness of positive solutions to a semilinear elliptic problem in R^N. Journal of Mathematical Analysis and Applications, 229(2), 417-425.
Cirstea, F. (1997). Existence of nontrivial weak solutions for a class of quasilinear problems. Annals of the University of Craiova. Mathematics and Computer Science Series, 24, 73-87.

show 38 more

Conferences

Cirstea, F. (2002). On the uniqueness of solutions with boundary blow-up for a class of logistic equations. 4th International conference on modelling and simulation, Victoria: Victoria University.

By Year

Expand all

2024

Brandolini, B., Cirstea, F. (2024). Boundedness of solutions to singular anisotropic elliptic equations. Discrete and Continuous Dynamical Systems - Series S, 17(4), 1545-1561. [More Information]

2023

Brandolini, B., Cirstea, F. (2023). Anisotropic elliptic equations with gradient-dependent lower order terms and L1 data. Mathematics in Engineering, 5(4), 1-33. [More Information]
Brandolini, B., Cirstea, F. (2023). Singular anisotropic elliptic equations with gradient-dependent lower order terms. Nonlinear Differential Equations and Applications NoDEA, 30(58), 1-58. [More Information]

2021

Cirstea, F. (2021). Proofs Of Urysohn's Lemma And The Tietze Extension Theorem Via The Cantor Function. Bulletin of the Australian Mathematical Society, 103(3), 326-332. [More Information]
Cirstea, F., Farcaseanu, M. (2021). Sharp existence and classification results for nonlinear elliptic equations in RN\{0} with Hardy potential. Journal of Differential Equations, 292, 461-500. [More Information]

2020

Ching, J., Cirstea, F. (2020). Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearity. Proceedings of the Royal Society of Edinburgh Section A (Mathematics), 150(3), 1361-1376. [More Information]

2019

Cirstea, F., Robert, F., Vetois, J. (2019). Existence of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity. Mathematische Annalen, 375, 1193-1230. [More Information]

2017

Cirstea, F., Robert, F. (2017). Sharp asymptotic profiles for singular solutions to an elliptic equation with a sign-changing non-linearity. Proceedings of the London Mathematical Society, 114(1), 1-34. [More Information]
Chang, T., Cirstea, F. (2017). Singular solutions for divergence-form elliptic equations involving regular variation theory: Existence and classification. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 34(6), 1483-1506. [More Information]

2015

Ching, J., Cirstea, F. (2015). Existence and classification of singular solutions to nonlinear elliptic equations with a gradient term. Analysis and PDE, 8(8), 1931-1962. [More Information]
Cirstea, F., Vetois, J. (2015). Fundamental Solutions for Anisotropic Elliptic Equations: Existence and A Priori Estimates. Communications in Partial Differential Equations, 40(4), 727-765. [More Information]

2014

Cirstea, F. (2014). A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials. Memoirs of the American Mathematical Society, 227(1068), 1-97. [More Information]

2013

Brandolini, B., Chiacchio, F., Cirstea, F., Trombetti, C. (2013). Local behaviour of singular solutions for nonlinear elliptic equations in divergence form. Calculus of Variations and Partial Differential Equations, 48(3-4), 367-393. [More Information]

2010

Cirstea, F., Du, Y. (2010). Isolated singularities for weighted quasilinear elliptic equations. Journal of Functional Analysis, 259(1), 174-202. [More Information]

2009

Chaudhuri, N., Cirstea, F. (2009). On trichotomy of positive singular solutions associated with the Hardy-Sobolev operator. Academie des Sciences. Comptes Rendus. Mathematique, 347(3-4), 153-158. [More Information]

2008

Cirstea, F., Trombetti, C. (2008). On the Monge--Ampere equation with boundary blow-up: existence, uniqueness and asymptotics. Calculus of Variations and Partial Differential Equations, 31(2), 167-186. [More Information]
Cirstea, F., Dragomir, S. (2008). Representation of multivariate functions via the potential theory and applications to inequalities. Journal of Inequalities and Applications, 2008, 1-15. [More Information]

2007

Cirstea, F., Du, Y. (2007). Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. Journal of Functional Analysis, 250(2), 317-346. [More Information]
Cirstea, F., Radulescu, V. (2007). Boundary blow-up in nonlinear elliptic equations of Bieberbach-Rademacher type. Transactions of the American Mathematical Society, 359(7), 3275-3286. [More Information]
Cirstea, F. (2007). Elliptic equations with competing rapidly varying nonlinearities and boundary blow-up. Advances in Differential Equations, 12(9), 995-1030.
Cirstea, F., Du, Y. (2007). Large solutions of elliptic equations with a weakly superlinear nonlinearity. Journal d'Analyse Mathematique, 103(1), 261-277. [More Information]

show 1 more

2006

Cirstea, F., Radulescu, V. (2006). Nonlinear problems with boundary blow-up: a Karamata regular variation theory approach. Asymptotic Analysis, 46(3-4), 275-298.

2005

Cirstea, F., Ghergu, M., Radulescu, V. (2005). Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type. Journal de Mathematiques Pures et Appliquees, 84(4), 493-508. [More Information]
Cirstea, F., Du, Y. (2005). General uniqueness results and variation speed for blow-up solutions of elliptic equations. Proceedings of the London Mathematical Society, 91(2), 459-482. [More Information]

2004

Cirstea, F. (2004). An extreme variation phenomenon for some nonlinear elliptic problems with boundary blow-up. Academie des Sciences. Comptes Rendus. Mathematique, 339(10), 689-694. [More Information]
Cirstea, F., Niculescu, C. (2004). Existence and non-existence results for some degenerate quasilinear problems with indefinite non-linearities. In Y J Cho, J K Kim & K S Ha (Eds.), Differential equations and applications, (pp. 63-80). Hauppauge, NY: Nova Science Publishers.
Cirstea, F., Radulescu, V. (2004). External singular solutions for degenerate logistic-type equations in anisotropic media. Academie des Sciences. Comptes Rendus. Mathematique, 339(2), 119-124. [More Information]

2003

Cirstea, F., Radulescu, V. (2003). Asymptotics for the blow-up boundary solution of the logistic equation with absorption. Academie des Sciences. Comptes Rendus. Mathematique, 336(3), 231-236. [More Information]
Cirstea, F., Radulescu, V. (2003). Solutions with boundary blow-up for a class of nonlinear elliptic problems. Houston Journal of Mathematics, 29(3), 821-829.
Barnett, N., Cirstea, F., Dragomir, S. (2003). Some inequalities for the integral mean of Holder continuous functions defined on disks in a plane. In Yeol Je Cho, Jong Kyu Kim, Server S. Dragomir (Eds.), Inequality Theory and Applications, (pp. 7-19). Hauppauge, NY: Nova Science Publishers.

2002

Cirstea, F., Radulescu, V. (2002). Blow-up boundary solutions of semilinear elliptic problems. Nonlinear Analysis, 48(4), 521-534.
Cirstea, F., Radulescu, V. (2002). Entire solutions blowing up at infinity for semilinear elliptic systems. Journal de Mathematiques Pures et Appliquees, 81(9), 827-846.
Cirstea, F., Radulescu, V. (2002). Existence and uniqueness of blow-up solutions for a class of logistic equations. Communications in Contemporary Mathematics, 4(3), 559-586.
Cirstea, F. (2002). On the uniqueness of solutions with boundary blow-up for a class of logistic equations. 4th International conference on modelling and simulation, Victoria: Victoria University.
Cirstea, F., Radulescu, V. (2002). Uniqueness of the blow-up boundary solution of logistics equations with absorption. Academie des Sciences. Comptes Rendus. Mathematique, 335(5), 447-452.

show 2 more

2001

Cirstea, F., Radulescu, V. (2001). Existence implies uniqueness for a class of singular anisotropic elliptic boundary value problems. Mathematical Methods in the Applied Sciences, 24(11), 771-779. [More Information]
Cirstea, F., Radulescu, V. (2001). On a class of quasilinear eigenvalue problems on unbounded domains. Archiv der Mathematik, 77(4), 337-346.
Cirstea, F., Radulescu, V. (2001). On a double bifurcation quasilinear problem arising in the study of anisotropic continuous media. Proceedings of the Edinburgh Mathematical Society, 44(3), 527-548.
Cirstea, F., Motreanu, D., Radulescu, V. (2001). Weak solutions of quasilinear problems with nonlinear boundary condition. Nonlinear Analysis, 43(5), 623-636.

show 1 more

2000

Cirstea, F., Radulescu, V. (2000). Existence and non-existence results for a quasilinear problem with nonlinear boundary condition. Journal of Mathematical Analysis and Applications, 244(1), 169-183. [More Information]
Cirstea, F., Radulescu, V. (2000). Multiple solutions of degenerate perturbed elliptic problems involving a subcritical Sobolev exponent. Topological Methods In Nonlinear Analysis, 15(2), 283-300.
Cirstea, F., Radulescu, V. (2000). Multiplicity of solutions for a class of nonsymmetric eigenvalue hemivariational inequalities. Journal of Global Optimization, 17(1-4), 43-54.

1999

Cirstea, F., Radulescu, V. (1999). Existence and uniqueness of positive solutions to a semilinear elliptic problem in R^N. Journal of Mathematical Analysis and Applications, 229(2), 417-425.

1997

Cirstea, F. (1997). Existence of nontrivial weak solutions for a class of quasilinear problems. Annals of the University of Craiova. Mathematics and Computer Science Series, 24, 73-87.

Selected Grants

2022

Singular solutions for nonlinear elliptic and parabolic equations, Cirstea F, Australian Research Council (ARC)/Discovery Projects (DP)

2019

Nonlinear partial differential equations with anisotropy and singularities, Cirstea F, Australian Research Council (ARC)/Discovery Projects (DP)

2012

Analysis of nonlinear partial differential equations describing singular phenomena, Cirstea F, Australian Research Council (ARC)/Discovery Projects (DP)

2008

Singular phenomena for nonlinear partial differential equations arising in applications, Cirstea F, Australian Research Council (ARC)/Discovery Projects (DP)

Faculty of Science

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