Rodica Toader's publications:
1. G. Dal Maso and R. Toader,
Limits of Dirichlet problems in perforated domains: a new formulation.
Rendiconti dell'Istituto di Matematica dell'Università di Trieste 26 (1994), 339–360.
2. G. Dal Maso and R. Toader,
A capacity method for the study of Dirichlet problems for elliptic systems in varying domains.
Rendiconti del Seminario Matematico dell'Università di Padova 96 (1996), 257–277.
3. G. Cortesani and R. Toader,
Finite element approximation of non-isotropic free-discontinuity problems.
Numerical Functional Analysis and Optimization 18 (1997), 921–940.
4. R. Toader,
Scattering in domains with many small obstacles.
Discrete Continuous Dynamical Systems 4 (1998), 321–338.
5. G. Cortesani and R. Toader,
Nonlocal approximation of nonisotropic free-discontinuity problems.
SIAM Journal of Applied Mathematics 59 (1999), 1507–1519 (electronic).
6. G. Cortesani and R. Toader,
A density result in SBV with respect to non-isotropic energies.
Nonlinear Analysis, Real World Applications 38 (1999), 585–604.
7. A. C. Barroso, I. Fonseca and R. Toader,
A relaxation theorem in the space of functions of bounded deformation.
Annali della Scuola Normale Superiore di Pisa 29 (2000), 19–49.
8. R. Toader,
Wave equation in domains with many small obstacles.
Asymptotic Analysis 23 (2000), 273–290.
9. G. Dal Maso and R. Toader,
A model for the quasi-static growth of brittle fractures: existence and approximation results.
Archive for Rational Mechanics and Analysis 162 (2002), 101–135.
10. G. Dal Maso and R. Toader,
A model for the quasi-static growth of brittle fractures based on local minimization.
Mathematical Models and Methods in Applied Sciences. 12 (2002), 1773–1799.
11. F. Ebobisse and R. Toader,
A note on the integral representation of functionals in the space SBD(W).
Rendiconti di Matematica Applicata 23 (2003), 189–201.
12. G. Dal Maso, G. A. Francfort and R. Toader,
Quasi-static evolution in brittle fracture: the case of bounded solutions.
Calculus of variations: topics from the mathematical heritage of E. De Giorgi,
245–266, Quad. Mat., 14, Dept. Math., Seconda Univ. Napoli, Caserta, 2004.
13. G. Dal Maso, G. A. Francfort and R. Toader,
Quasistatic crack growth in nonlinear elasticity.
Archive for Rational Mechanics and Analysis 176 (2005), 165–225.
14. G. Dal Maso and R. Toader,
On a notion of unilateral slope for the Mumford-Shah functional.
NoDEA Nonlinear Differential Equations and Applications 13 (2007), 713–734.
15. A. Fonda and R. Toader,
Periodic orbits of radially symmetric Keplerian-like systems: a topological degree approach.
Journal of Differential Equations 244 (2008), 3235–3264.
16. G. Dal Maso and R. Toader,
Decomposition results for functions with bounded variation.
Bollettino dell'Unione Matematica Italiana (9) 1 (2008), 497–505.
17. R. Toader and C. Zanini,
An artificial viscosity approach to quasistatic crack growth.
Bollettino dell'Unione Matematica Italiana (9) 2 (2009), 1–35.
18. A. Fonda and R. Toader,
Nonlinear perturbations of some non-invertible differential operators.
Differential Integral Equations 22 (2009), 949–978.
19. G. Dal Maso and R. Toader,
Quasistatic crack growth in elasto-plastic materials: the two-dimensional case.
Archive for Rational Mechanics and Analysis 196 (2010), 867–906.
20. F. Cagnetti and R. Toader,
Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach.
ESAIM: Control, Optimisation and Calculus of Variations 17 (2011), 1–27.
21. G. Lazzaroni and R. Toader
Energy release rate and stress intensity factor in antiplane elasticity.
Journal des Mathématiques Pures et Appliquées 95 (2011), 565–584.
22. A. Fonda and R. Toader,
Radially symmetric systems with a singularity and asymptotically linear growth.
Nonlinear Analysis 74 (2011), 2485–2496.
23. A. Fonda and R. Toader,
Lower and upper solutions to semilinear boundary value problems: an abstract approach.
Topological Methods in Nonlinear Analysis 38 (2011), 59–94.
24. A. Fonda and R. Toader,
Periodic orbits of radially symmetric systems with a singularity: the repulsive case.
Advanced Nonlinear Studies 11 (2011), 853–874.
25. G. Lazzaroni and R.Toader,
A model for crack propagation based on viscous approximation.
Mathematical Models and Methods in Applied Sciences. 21 (2011) 2019–2047.
26. A. Fonda and R. Toader,
Periodic solutions of radially symmetric perturbations of Newtonian systems.
Proceedings of the American Mathematical Society 140 (2012), 1331–1341.
27. A. Fonda, R. Toader and F. Zanolin,
Periodic solutions of singular radially symmetric systems with superlinear growth.
Annali di Matematica Pura ed Applicata, 191 (2012), 181–204.
28. A. Fonda and R. Toader,
Periodic solutions of pendulum-like Hamiltonian systems in the plane.
Advanced Nonlinear Studies 12 (2012), 395–408.
29. A. Fonda, R. Toader and P. J. Torres,
Periodic motions in a gravitational central field with a rotating external force.
Celestial Mechanics and Dynamical Astronomy 113, (2012), 335–342.
30. G. Lazzaroni and R. Toader,
Some remarks on the viscous approximation of crack growth.
Discrete and Continuous Dynamical Systems Ser. S, 6, (2013), 131–146.
31. S. Almi, G. Dal Maso and R. Toader,
Quasi-static crack growth in hydraulic fracture.
Nonlinear Analysis 109, (2014), 301-318.
32. S. Racca and R. Toader,
A variational model for the quasi-static growth of fractional dimensional brittle fractures.
Interfaces and Free Boundaries 16, (2014), 509-538.
33. G. Dal Maso, G. Orlando and R. Toader,
Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length.
NoDEA Nonlinear Differential Equations and Applications 22, (2015), 449-476.
34. M. Negri and R. Toader,
Scaling in fracture mechanics by Bazant's law: from finite to linearized elasticity.
Mathematical Models and Methods in Applied Sciences 25, (2015), 1389-1420.
35. G. Dal Maso, G. Orlando and R. Toader,
Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity.
Calculus of Variations and Partial Differential Equations 55, (2016), articolo 45.
36. G. Dal Maso, C. Larsen and R. Toader,
Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition.
Journal of the Mechanics and Physics of Solids 95, (2016), 697-707.
37. G. Lazzaroni, R. Rossi, M. Thomas and R. Toader,
Some remarks on a model for rate-independentdamage in thermo-visco-elastodynamics.
Journal of Physics: Conference Series, 727 (1), (2016) 012009.
38. S. Almi, G. Dal Maso and R. Toader,
A lower semicontinuity result for a free discontinuity functional with a boundary term.
Journal des Mathématiques Pures et Appliquées 108 (9), (2017), 952-990.
39. G. Dal Maso, G. Orlando and R. Toader,
Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation.
Advances in the Calculus of Variations 10(2), (2017), 183-207.
40. G. Lazzaroni, R. Rossi, M. Thomas and R. Toader,
Rate-independent damage in thermo-viscoelastic materials with inertia.
Journal of Dynamics and Differential Equations 30 (3), (2018), 1311-1364.
41. A. Fonda, R. Toader,
Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth.
Advances in Nonlinear Analysis 8 (1), (2019), 583-602.
42. G. Dal Maso, R. Toader,
On the Cauchy problem for the wave equation on time-dependent domains.
Journal of Differential Equations 266 (6), (2019), 3209-3246.
43. G. Dal Maso, C. Larsen and R. Toader,
Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition.
Journal des Mathématiques Pures et Appliquées 127, (2019), 160-191.