Dr. Greta Marino
Lebenslauf
EDUCATION
- Oct 2015 - Jan 2019, PhD in Mathematics
University of Catania, Italy
Supervisors: Prof. S.A. Marano, Prof. S. Mosconi
Thesis: ''A-priori estimates for some classes of elliptic problems''
- Oct 2013 - Jul 2015, Master's Degree in Mathematics
University of Catania, Italy - 110/110 cum laude
Supervisor: Prof. B. Ricceri
Thesis: ''Variational and quasi-variational inequalities in absence of monotony'' (in Italian)
- Oct 2009 - Jul 2013, Bachelor's Degree in Mathematics
University of Messina, Italy - 110/110 cum laude
Supervisor: Prof. P. Cubiotti
Thesis: ''Existence theorems for variational and quasi-variational inequalities associated to discontinuous functions'' (in Italian) - Sept 2004 - Jul 2009, High School Diploma
Scientific High School ''Leonardo da Vinci'', Reggio Calabria, Italy - 100/100 cum laude
WORK EXPERIENCE
- Nov 2022 - Oct 2024, Project Leader, DFG project 496629752
Institute of Mathematics of University of Augsburg, Germany.
- May 2019 - Oct 2022, Postdoctoral University Assistant
Faculty Assistant: Inverse Problems Group (Prof. J.-F. Pietschmann)
Faculty of Mathematics of University of Technology Chemnitz (TU Chemnitz), Germany.
- Nov 2015 - Apr 2019, Teaching Assistant
Department of Mathematics and Computer Science (DMI), University of Catania, Italy.
GRANTS
Research grant: ''On the analysis of a class of cross-diffusion Cahn-Hilliard systems'', Principal Investigator, GZ: MA 10100/1-1 project number 496629752 (DFG). Value: 198.600 EUR. Duration: 2 years.
Forschungsschwerpunkte
- Higher-order ordinary differential equations
- Nonlinear elliptic differential equations and inclusions
- A-priori bounds for elliptic problems (equations and inequalities)
- Boundedness of solutions to elliptic problems with Orlicz-type nonlinearities
- Regularity of the stress field
- Comparison principles and multiple solutions in nonlinear elliptic problems
- Singular systems
- Bifurcation-type results
- Double-phase problems with convection terms
- Multiplicity results on a double phase setting
- Kirchhoff-type problems
- Nonlocal problems
- Cross-diffusion systems with Cahn-Hilliard terms
- Stability of solutions to random evolution equations
- Free boundary problems
Publikationen
FULL LIST OF PUBLICATIONS
- IN PREPARATION
4. E. Davoli, G. Marino, and J.-F- Pietschmann, Existence results to a system of cross-diffusion equations involving nonlocal Cahn-Hilliard terms.
3. G. Barletta, F. Eitler, and G. Marino, Existence of solutions for elliptic problems in Musielak-Orlicz spaces.
2. M. Friedrich, G. Marino, and J.-F. Pietschmann, On a cross-diffusion Cahn-Hilliard system with elastic effects.
1. G. Marino, J.-F. Pietschmann, and B. Sprungk, Stability results for the random Allen-Cahn equation.
- PREPRINTS
2. G. Marino, J.-F. Pietschmann, and M. Winkler, A free boundary problem for transport induced neurite growth. https://arxiv.org/abs/2302.00527
1. G. Marino, J.-F. Pietschmann, and A. Pichler, Uncertainty analysis for drift-diffusion equations. https://arxiv.org/abs/2105.06334
- REFEREED ARTICLES
15. J. Cauvin-Vila, V. Ehrlacher, G. Marino, and J.-F. Pietschmann, Stationary solutions and large time asymptotics to a cross-diffusion-Cahn–Hilliard system, Nonlinear Anal. 241 (2024), 113482.
14. G. Marino and S. Mosconi, Lipschitz regularity for solutions of a general class of elliptic equations, Calc. Var. 63 (2024), no. 1, 25.
13. A. Fiscella, G. Marino, A. Pinamonti, and S. Verzellesi, Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting, Rev. Mat. Complut. (2023).
12. G. Barletta, A. Cianchi, and G. Marino, Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces, Calc. Var., 62 (2023), no. 65.
11. S. El Manouni, G. Marino, and P. Winkert, Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian, Adv. Nonlinear Anal., 11 (2022), 304--320.
10. V. Ehrlacher, G. Marino, and J.-F. Pietschmann, Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system, J. Differential Equations, 286 (2021), 578--623.
9. G. Marino and A. Paratore, Implicit equations involving the p-Laplace operator, Mediterr. J. Math., 18 (2021), no. 2, 74.
8. G. Marino and P. Winkert, Existence and uniqueness of elliptic systems with double phase operators and convection terms, J. Math. Anal. Appl. 492 (2020), no. 1, 124423.
7. G. Marino and P. Winkert, L^{\infty}-bounds for general singular elliptic equations with convection term, Appl. Math. Lett. 107 (2020), 106410.
6. G. Marino and D. Motreanu, Existence and L^{\infty}-estimates for elliptic equations involving convolution, Computational and Mathematical Methods 5 (2020), no. 2, e1103.
5. G. Marino and P. Winkert, Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition, J. Math. Anal. Appl. 482 (2020), no. 2, 123555.
4. S.A. Marano, G. Marino, and N.S. Papageorgiou, On a Dirichlet problem with (p,q)-Laplacian and parametric concave-convex nonlinearity, J. Math. Anal. Appl. 475 (2019), no. 2, 1093--1107.
3. S.A. Marano, G. Marino, and A. Moussaoui, Singular quasilinear elliptic systems in \R^N, Ann. Mat. Pura Appl. 198 (2019), no. 5, 1581--1594.
2. G. Marino and P. Winkert, Moser iteration applied to elliptic equations with critical growth on the boundary, Nonlinear Anal. 180 (2019), 154--169.
1. G. Marino and S. Mosconi, Existence and asymptotic behavior of nontrivial solutions to the Swift-Hohenberg equation, J. Differential Equations 263 (2017), no. 12, 8581--8605.