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** 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
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** 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
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** Research interest**
Nonlinear Partial Differential Equations of Elliptic and Parabolic Type
Harmonic Functions and Classical Potential Theory
Stochastic Analysis with Applications in Finance
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** Books**
M. Ghergu and S.D. Taliaferro, * Isolated Singularities in Partial Differential Inequalities*, Cambridge University Press, 2016, pp. 349+xii
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** Publications in Refereed Journals **
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** 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]
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** 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]
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** 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
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** 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]
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** 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]
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** 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]
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** 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]
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** 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]
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** 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]
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** 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]
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** 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.
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** 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
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** 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
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** 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
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** 2006**
- M. Ghergu and V. Radulescu, Singular elliptic problems with lack of compactness,
*Annali di Matematica Pura ed Applicata * **185** (2006), 63-79
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** 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
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** 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
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** 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
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** 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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