Publications

Preprints

• V. Ehrlacher, G. Marino, and J.-F. Pietschmann, Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system , 33pp. arxiv.org/abs/2007.00989

Papers

2021:

• G. Marino and A. Paratore, Implicit equations involving the p-Laplace operator, Accepted at Mediterranean Journal of Mathematics. arxiv.org/abs/1806.03490

2020:

• G. Marino and P. Winkert, Existence and uniqueness of elliptic systems with double phase operators and convection terms, Journal of Mathematical Analysis and Application 492-(1), 124423. doi.org/10.1016/j.jmaa.2020.124423
• G. Marino and D. Motreanu, Existence and L-infinity estimates for elliptic equations involving and convolution, Computational and Mathematical Methods. onlinelibrary.wiley.com/doi/full/10.1002/cmm4.1103
• G. Marino and P. Winkert, L-infinity-bounds for general singular elliptic equations with convection term, Applied Mathematics Letters 107, 106410. doi.org/10.1016/j.aml.2020.106410
• G. Marino and P. Winkert, Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition, Journal of Mathematical Analysis and Applications, 482(2), 123555. doi.org/10.1016/j.jmaa.2019.123555

2019:

• S.A. Marano, G. Marino, and N.S. Papageorgiou, On a Dirichlet problem with (p,q)-Laplacian and parametric concave-convex nonlinearity, Journal of Mathematical Analysis and Applications 475(2), pp. 1093-1107. doi.org/10.1016/j.jmaa.2019.03.006
• G. Marino and P. Winkert, Moser iteration applied to elliptic equations with critical growth on the boundary, Nonlinear Analysis 180, pp. 154-169. doi.org/10.1016/j.na.2018.10.002
• S.A. Marano, G. Marino, and A. Moussaoui, Singular quasilinear elliptic systems in RN, Annali di Matematica Pura e Applicata, 198(5), pp.1093-1107. doi.org/10.1007/s10231-019-00832-1

2017:

• G. Marino and S. Mosconi, Existence and asymptotic behavior of nontrivial solutions to the Swift-Hohenberg equation, Journal of Differential Equations 263(12), pp. 8581-8605. doi.org/10.1016/j.jde.2017.08.055

Theses

• A-priori estimates for some classes of elliptic problems, PhD Thesis, University of Catania, Italy, supervisors Prof. Dr. S.A. Marano and Prof. Dr. S. Mosconi (2019). archivia.unict.it/handle/10761/4116
• Variational and quasi-variational inequalities in absence of monotonicity, Master degree thesis, University of Catania, Italy, supervisor Prof. B. Ricceri (2015) in Italian.
• Existence theorems for variational and quasi-variational inequalities associated to discontinuous functions, Bachelor degree thesis, University of Messina, Italy, supervisor Prof. P. Cubiotti (2013) in Italian.