Preprints
1. A.Goffi, T.Leonori, On maximal regularity estimates for quasilinear evolution equations via the integral Bernstein method Preprint 2023
2. S. Buccheri, T.Leonori, J. Rossi The best approximation of a given function in L2-norm by Lipschitz functions with gradient constraint, Preprint 2023.
3. M.Cirant, A.Goffi, T.Leonori, Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms, Preprint 2022.
4. B. Abdellaoui, A.J. Fernández, T. Leonori, A. Younes, Global fractional Calderón-Zygmund re- gularity, Preprint 2021.
Articoli
1. B. Abdellaoui, A.J. Fernández, T. Leonori, A. Younes, Deterministic KPZ equations with nonlo- cal “gradient terms”. Ann. Mat. Pura Appl. 202 (2023), 1451-1468.
2. S. Buccheri, T.Leonori, J. Rossi Strong convergence of the gradients for p−Laplacian problems as p → ∞, Journal of Mathematical Analysis and Applications 495 (2021), 124724.
3. S. Buccheri, T.Leonori Large solution for an equation involving the p–Laplacian with p diver- ging, Calc. Var. 60, (2021), 30.
4. T. Leonori, A.Molino, S. Segura de León, Parabolic equations with natural growth approximated by nonlocal equations, Comm. Cont. Math. 23 (2021), 1950088.
5. J. Carmona, E. Colorado, T. Leonori, A. Ortega, Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions. Fractional Calculus and Applied Analysis, 23 (2020) 1208–1239.
6. J. Carmona, E. Colorado, T. Leonori, A. Ortega, Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data. Adv. in Calculus of Variations (2020).
7. T.Leonori, M.Magliocca, Comparison results for unbounded solutions for a parabolic Cauchy- Dirichlet problem with superlinear gradient growth, Communications in Pure and Applied Analy- sis 18 (2019) 2923–2960.
8. J.Carmona, T. Leonori, S. López-Martínez, P. Martínez-Aparicio, Quasilinear elliptic problems with singular and homogeneous lower order terms, Nonlinaer Analysis, 179 (2019) 105–130.
9. T. Leonori, M. Medina, I. Peral, A. Primo, F. Soria, Principal Eigenvalue of Mixed Problem for the Fractional Laplacian: Moving the Boundary Conditions, Journal of Differential Equations 265 (2018), 593–619.
10. T.Leonori,A.PorrettaOnthecomparisonprincipleforunboundedsolutionsofellipticequations with first order terms, Journal of Mathematical Analysis and Applications 457 (2018), 1492– 1501.
11. L. Carmona, T. Leonori, A uniqueness result for a singular elliptic equation with gradient term, to appear in Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 148 (2018), 983–994.
12. T. Leonori, A. Porretta, G.Riey Comparison principles for p-Laplace equations with lower order terms, Annali di Matematica Pura e Applicata, 196 (2017) 877–903.
13. T. Leonori A. Porretta Large solutions and gradient bounds for quasilinear elliptic equations, Comm. Part. Diff. Eq. 41 (2016) 952–998.
14. T.Leonori, Peral, Ana Primo, F. Soria Basic estimates for solution of elliptic and parabolic equations for a class of nonlocal operators, Discrete and Continuous Dynamical Systems, 35 (2015) 6031–6068
15. S.Calogero, T. Leonori, Ground states of self-gravitating elastic bodies, Calc.Var. 54 (2015) 881–899
16. D. Arcoya, T. Leonori, A. Primo, Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano Theorem, Acta Applicandae Mathematicae, 127 (2013) 87–104
17. D. Arcoya, L.Boccardo, T. Leonori, W1,1-solutions for nonlinear elliptic problems with gradient 0
terms, Nodea 20 (2013) 1741–1757
18. D. Arcoya, E. Colorado, T. Leonori, Asymptotically linear problems and antimaximum principle
for the square root of the laplacian, Adv. Nonlin. Stud. 12 (2012), 683–701
19. T. Leonori, A.Porretta, Gradient bounds for elliptic problems singular at the boundary, Arch.
Rational Mech. Anal. 202 (2011) 663–705
20. T. Leonori, P. Martínez, A. Primo Nonlinear Elliptic equations with Hardy potential and lower order term with natural growth Nonlinear Analysis: Theory, Methods & Applications, 74(2011) 3556–3569.
21. T. Leonori, F.Petitta Local estimates for parabolic equations with nonlinear gradient terms, Calc.Var. 42 (2011) 153–187.
22. L. Boccardo,T. Leonori, L.Orsina, F.Petitta, Quasilinear elliptic equations with singular quadratic growth terms, Comm. Cont. Math, 13 (2011) 607–642.
23. D. Arcoya, L.Boccardo, T. Leonori, A.Porretta, Some elliptic problems with singular natural growth lower order terms, J.Diff.Eq., 249, (2010) 2771–2795
24. I.N. Figueiredo, C. Leal, T. Leonori, G. Romanazzi, P. N. Figueiredo, and M. M. Donato, A coupled convection-diffusion level set model for tracking epithelial cells in colonic crypts, Inter- national Conference on Computational Science, ICCS 2010, 1 (2010) 961–969
25. L.Boccardo, T. Leonori, Local property of solutions of elliptic equations depending on local property of data, Methods and Applications of Analysis, 15 (2009) 53–64.
26. D. Arcoya, J. Carmona, T. Leonori, P. J. Martínez, L. Orsina, F. Petitta, Existence and no- nexistence of solutions for singular quadratic quasilinear equations, J. Diff. Eq., 246 (2009) 4006–4042.
27. T. Leonori, A.Porretta The boundary behaviour of blow–up solutions related to a state cons- traint problem, SIAM Math. Anal. 39 (2008), 1295–1327.
28. T. Leonori, F.Petitta Existence and regularity results for some singular elliptic problem, Adv. Nonlin. Stud. 7(2007), 329–344.
29. T. Leonori Large solutions for a class of nonlinear elliptic equations with gradient terms, Adv. Nonlin. Stud. 7(2007), 237–269.
30. T. Leonori Bounded solutions for some Dirichlet problems with L1(Ω) data, Boll. U.M.I., sez. B, 4 (2007) 785–796.
31. T. Leonori, F.Petitta Asymptotic behavior of solutions for parabolic equations with natural growth term and irregular data, Asymptotic Analysis 48(3) (2006), 219–233.
Altre Pubblicazioni
1.T. Leonori, A. Porretta, Lipschitz solutions of elliptic problems with singularity at the boundary and applications, Proceedings XXII Congreso de Ecuaciones Diferenciales y Aplicaciones, XII Congreso de Matematica Aplicada, Univer- sidad de Les Illes Balears, Palma de Mallorca, (September 59, 2011), (Actas Electronicas). ISBN: 978-84-694-4935-6
2.T. Leonori, A. Porretta, Gradient Bounds for Elliptic Problems Singular at the Boundary and Application to a Stochastic Control Problem with State Con- straint, Proceedings of the ICM 2010, Hyderabad, India. ISBN: 978-981-4324- 30-4 (hardcover)
3.T. Leonori Large solutions for a class of nonlinear elliptic equations with gradient terms, Ph.D. Thesis (2006) at University of Roma “Tor Vergata”. Advisor: Prof A.Porretta
4.T. Leonori Equazioni ellittiche con termini di ordine inferiore a crescita nat- urale nel gradiente e dati misura, Degree Thesis at University of Roma “La Sapienza”(2002). Advisor: Prof. L.Orsina.
Raccolta di Esercizi
Ejercicios del curso ”Ecuaciones en Derivadas Parciales”.
ISBN 978-84-686- 2795-3
http://www.bubok.es/libros/219821/Ejercicios-del-curso-Ecuaciones-en-derivadas-parciales
