Address
School of Mathematics and Statistics
Univesity College Dublin, Belfield campus, Dublin 4, Ireland
Phone: +353 1716 5739, Fax: +353 1716 1172
E-mail addresses: firstname[dot]surname[at]ucd[dot]ie
Teaching 2019-2020
MATH 10140 Advanced Calculus for Economics and Finance
MATH 20180 Foundations for Financial Mathematics
MATH 40380 Mathematical Theory for Partial Differential Equations
Research interest
Nonlinear Partial Differential Equations of Elliptic and Parabolic Type
Harmonic Functions and Classical Potential Theory
Stochastic Analysis with Applications in Finance
Books
M. Ghergu and S.D. Taliaferro, Isolated Singularities in Partial Differential Inequalities, Cambridge University Press, 2016, pp. 349+xii
M. Ghergu and V. Radulescu, Nonlinear PDEs:
Mathematical Models in Biology, Chemistry and Population Genetics, Springer Monographs in Mathematics, Springer 2012
M. Ghergu and V. Radulescu, Singular Elliptic Problems. Bifurcation and Asymptotic Analysis, Oxford Lecture Series in Mathematics and Its Applications, Oxford University Press, No 37, 2008
Publications in Refereed Journals
2020
- M. Ghergu and O. Goubet, Singular solutions of elliptic equations with iterated exponentials,
J. Geometric Analysis. (2020), in press [pdf]
- M. Ghergu, S. Kim and H. Shahgholian, Isolated singularities for semilinear elliptic systems with power-law nonlinearity,
Analysis and PDE. 8 (2020), in press[pdf]
- S.J. Gardiner, M. Ghergu and T. Sjödin, Isoperimetric inequalities for Bergman analytic content, Indiana Univ. Math J. (2020), [pdf]
- M. Ghergu, P. Karageorgis and G. Singh, Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms,
J. Differential Equations. (2020), in press [pdf]
- M. Ghergu, Behavior around isolated singularity for integral inequalities with multiple Riesz potentials,
Complex Var. Elliptic Equations. (2020), in press [pdf]
2019
- M. Ghergu, S. D. Taliaferro and I. Verbitsky, Pointwise bounds and blow-up for systems of semilinear elliptic inequalities at an isolated singularity via nonlinear potential estimates,
J. d'Analyse Math 12 (2019), [pdf]
- M. Ghergu, M. Manolaki, I. Netuka and H. Render, Potential theory and approximation: highlights from the scientific work of Stephen Gardiner,
Analysis and Mathematical Physics. 9 (2019), 679-709 [pdf]
- M. Ghergu, J. Giacomoni and G. Singh, Global and blow-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids,
Nonlinearity. 32 (2019), 1546-1569 [pdf]
- M. Ghergu, J. Giacomoni and Prashanth, Radial singular solutions for the N-Laplace equation with exponential nonlinearities,
J. Math. Analysis Applications. 475 (2019), 668-685 [pdf]
- M. Ghergu and G. Singh, On a class of mixed Choquard-Schrödinger-Poisson systems, Discrete Cont. Dyn. Systems B. 12 (2019), 297-309 [pdf]
- M. Ghergu, S. Kim and H. Shahgholian, Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity,
Adv. Nonlinear Analysis. 8 (2019), 995-1003 [pdf]
2018
- S.J. Gardiner, M. Ghergu and T. Sjödin, Analytic content and the isoperimetric inequality in higher dimensions, J. Functional Analysis. 275 (2018), 2204-2298 [pdf]
- M. Ghergu, Iterated exponential inequalities: a classroom-tailored approach, Int. J. Math. Education Science Technology. 42 (2018), 802-807
2017
- M. Ghergu and S. D. Taliaferro, Pointwise bounds and blow-up for systems of parabolic inequalities and nonlinear heat potential estimates, J. Functional Analysis. 272 (2017), 1301-1339 [pdf]
2016
- M. Ghergu and S. Taliaferro, Pointwise bounds and blow-up for Choquard-Pekar inequalities at an isolated singularity,
J. Differential Equations. 261 (2016), 189-217 [pdf]
2015
- M. Ghergu and S. D. Taliaferro, Asymptotic behavior at isolated singularities for solutions of nonlocal semilinear elliptic systems of inequalities,
Calc. Variations PDEs 54 (2015), 1243-1273 [pdf]
- M. Ghergu and S. D. Taliaferro, Nonexistence of positive supersolutions of nonlinear biharmonic equations without the Maximum Principle,
Communications in Partial Differential Equations 40 (2015), 1029-1069 [pdf]
- M. Ghergu, On a class of singular elliptic systems,
Nonlinear Analysis, 119 (2015), 98-105 [pdf]
2014
- M. Ghergu, V. Liskevich and Z. Sobol, Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls,
J. d'Analyse Math. 123 (2014), 251-279 [pdf]
- W. Chen, L. Dupaigne and M. Ghergu, A new critical curve for the Lane-Emden system,
Discrete Contin. Dyn. Systems (DCDS A), 34 (2014), 2469-2479 [pdf]
2013
- L. Dupaigne, M. Ghergu, O. Goubet and G. Warnault, The Gel'fand problem for the biharmonic operator, Arch. Rational Mech. Analysis 208 (2013), 725-752 [pdf]
- M. Ghergu, Singular elliptic systems of Lane-Emden type, Contemp. Math. 595 (2013), 253-262 [pdf]
- M. Ghergu and S. D. Taliaferro, Semilinear elliptic inequalities in the exterior of a compact set,
Proc. Royal Soc. Edinburgh: Section A (Mathematics) 143 (2013), 563-588 [pdf]
2012
- L. Dupaigne, M. Ghergu, O. Goubet and G. Warnault, Entire large solutions for semilinear elliptic equations, J. Differential Equations 253 (2012), 2224-2251 [pdf]
- H. Render and M. Ghergu, Positivity properties for the clamped plate boundary problem on the ellipse and strip, Math. Nachrichten 285 (2012), 1052-1062
- M. Ghergu, A biharmonic equation with singular nonlinearity, Proc. Edinburgh Math. Soc. 55 (2012), 155-166 [pdf]
2011
- M. Ghergu, A. Moradifam and S. D. Taliaferro, Isolated singularities of polyharmonic inequalities
J. Functional Analysis 261 (2011), 660-680 [pdf]
- M. Ghergu, Lane-Emden systems with singular data,
Proc. Royal Society of Edinburgh: Section A (Mathematics) 141 (2011), 1279-1294 [pdf]
2010
- S. J. Gardiner and M. Ghergu, Champagne subregions of the unit ball with unavoidable bubbles,
Ann. Acad. Sci. Fenn. Math. 35 (2010), 321-329
- M. Ghergu, Lane-Emden systems with negative exponents,
J. Functional Analysis 258 (2010), 3295-3318
- M. Ghergu and V. Radulescu, Turing patterns in a general Brusselator system,
Commun. Contemp. Math. 12 (2010), 661-679.
2009
- J. Pres and M. Ghergu, Positive harmonic functions that vanish on a subset of a cylindrical surface,
Potential Analysis 31 (2009), 147-181
- M. Ghergu, Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet boundary condition,
Transactions of the American Mathematical Society 361 (2009), 3953-3976 [pdf]
- M. Ghergu, Large time behavior of solutions to degenerate parabolic equations with weights,
J. Math. Anal. Appl. 352 (2009), 132-138
- M. Ghergu, On the global solutions to a class of strongly degenerate parabolic equations,
Nonlinear Analysis 70 (2009), 1430-1442
2008
- M. Ghergu and V. Radulescu, A singular Gierer-Meinhardt system with different source terms,
Proc. Royal Society of Edinburgh: Section A (Mathematics) 138 (2008), 1215-1234 [pdf]
- M. Ghergu, Non-constant steady states for Brusselator type systems,
Nonlinearity 10 (2008), 2331-2345
2007
- M. Ghergu, G. Griso, H. Mechkour and B. Miara,
Homogenization of thin piezoelectric perforated shells,
M2AN (Mathematical Modelling and Numerical Analysis) 41 (2007), 875-895
- L. Dupaigne, M. Ghergu and V. Radulescu, Lane-Emden-Fowler equations with convection and singular potential,
J. Math. Pures Appliquees (Journal de Liouville) 87 (2007), 563-581
- 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
- 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
2006
- M. Ghergu and V. Radulescu, Singular elliptic problems with lack of compactness,
Annali di Matematica Pura ed Applicata 185 (2006), 63-79
2005
- M. Ghergu, F. Cirstea and V. Radulescu, Combined effects of asymptotically linear and singular nonlinearities in
bifurcation problems of Lane-Emden-Fowler type,
J. Math. Pures Appliquees (Journal de Liouville) 84 (2005), 61-84
- M. Ghergu and V. Radulescu, Multiparameter bifurcation and asymptotics for the singular Lane-Emden-Fowler equation with a convection term,
Proc. Royal Society of Edinburgh: Section A (Mathematics)
135 (2005), 63-79
- M. Ghergu, G. Griso, H. Mechkour and B. Miara, Homogeneisation de coques minces piezoelectriques perforees,
Comptes Rendus Mecanique 333 (2005), 249-255
- M. Ghergu and V. Radulescu, On a class of sublinear singular elliptic problems with convection term,
J. Math. Anal. Appl. 311 (2005), 635-646
2004
- 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
- M. Ghergu and V. Radulescu, Nonradial blow-up solutions of sublinear elliptic equations with gradient term
Commun. Pure and Applied Analysis 3 (2004), 465-474
2003
- M. Ghergu and V. Radulescu, Sublinear singular elliptic problems with two parameters,
J. Differential Equations 195 (2003), 520-536
- 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
- M. Ghergu and V. Radulescu, Existence and nonexistence of entire solutions to the logistic differential equation,
Abstract and Applied Analysis 17 (2003), 995-1003
- M. Ghergu, Small perturbations of degenerate elliptic equations with lack of compactness,
Math. Sci. Res. J. 7 (2003), 353-365
- 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
2002
- 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
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