• 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

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FULL LIST OF PUBLICATIONS

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• 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.

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• 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

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• 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, 威尼斯赌博游戏_威尼斯赌博app-【官网】iterr. 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.